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43433411021442 = 23413591093319811
BaseRepresentation
bin10011110000000101000010…
…00010010000101010000010
312200210012020002111101220000
421320002201002100222002
521143103111210141232
6232213011130100430
712101650262150451
oct1170024102205202
9180705202441800
1043433411021442
1112926008240062
124a5582957a716
131b309a36b2370
14aa228ca18b98
15504c0916627c
hex2780a1090a82

43433411021442 has 160 divisors (see below), whose sum is σ = 106683680093760. Its totient is φ = 13125555031680.

The previous prime is 43433411021431. The next prime is 43433411021449. The reversal of 43433411021442 is 24412011433434.

43433411021442 is a `hidden beast` number, since 4 + 3 + 433 + 4 + 1 + 1 + 0 + 214 + 4 + 2 = 666.

It is a super-3 number, since 3×434334110214423 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 43433411021397 and 43433411021406.

It is not an unprimeable number, because it can be changed into a prime (43433411021449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135649717 + ... + 135969527.

It is an arithmetic number, because the mean of its divisors is an integer number (666773000586).

Almost surely, 243433411021442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43433411021442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53341840046880).

43433411021442 is an abundant number, since it is smaller than the sum of its proper divisors (63250269072318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43433411021442 is a wasteful number, since it uses less digits than its factorization.

43433411021442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320990 (or 320981 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 43433411021442 its reverse (24412011433434), we get a palindrome (67845422454876).

The spelling of 43433411021442 in words is "forty-three trillion, four hundred thirty-three billion, four hundred eleven million, twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 81 117 118 162 177 234 351 354 531 702 767 1053 1062 1093 1534 1593 2106 2186 2301 3186 3279 4602 4779 6558 6903 9558 9837 13806 14209 19674 20709 28418 29511 41418 42627 59022 62127 64487 85254 88533 124254 127881 128974 177066 193461 255762 319811 383643 386922 580383 639622 767286 838331 959433 1150929 1160766 1676662 1741149 1918866 2301858 2514993 2878299 3482298 4157543 5029986 5223447 5756598 7544979 8315086 8634897 10446894 12472629 15089958 17269794 18868849 22634937 24945258 25904691 37417887 37737698 45269874 51809382 56606547 67904811 74835774 112253661 113213094 135809622 169819641 224507322 245295037 336760983 339639282 349553423 490590074 509458923 673521966 699106846 735885111 1018917846 1048660269 1471770222 1528376769 2097320538 2207655333 3056753538 3145980807 4415310666 4544194499 6291961614 6622965999 9088388998 9437942421 13245931998 13632583497 18875884842 19868897997 20623651957 27265166994 28313827263 39737795994 40897750491 41247303914 56627654526 61870955871 81795500982 122693251473 123741911742 185612867613 245386502946 268107475441 368079754419 371225735226 536214950882 556838602839 736159508838 804322426323 1113677205678 1608644852646 1670515808517 2412967278969 3341031617034 4825934557938 7238901836907 14477803673814 21716705510721 43433411021442