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43024431424 = 261379743881
BaseRepresentation
bin101000000100011101…
…001011100101000000
311010001110001120110011
4220010131023211000
51201103223301144
631433134514304
73052120430062
oct500435134500
9133043046404
1043024431424
1117279196147
128408965994
13409883c260
142122133732
1511bc2a4a34
hexa0474b940

43024431424 has 112 divisors (see below), whose sum is σ = 93339025920. Its totient is φ = 19557457920.

The previous prime is 43024431313. The next prime is 43024431451. The reversal of 43024431424 is 42413442034.

It is a super-2 number, since 2×430244314242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48835464 + ... + 48836344.

It is an arithmetic number, because the mean of its divisors is an integer number (833384160).

Almost surely, 243024431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43024431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46669512960).

43024431424 is an abundant number, since it is smaller than the sum of its proper divisors (50314594496).

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

43024431424 is a wasteful number, since it uses less digits than its factorization.

43024431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 43024431424 its reverse (42413442034), we get a palindrome (85437873458).

The spelling of 43024431424 in words is "forty-three billion, twenty-four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 208 316 416 632 743 832 881 1027 1264 1486 1762 2054 2528 2972 3524 4108 5056 5944 7048 8216 9659 11453 11888 14096 16432 19318 22906 23776 28192 32864 38636 45812 47552 56384 58697 65728 69599 77272 91624 117394 139198 154544 183248 234788 278396 309088 366496 469576 556792 618176 654583 732992 763061 904787 939152 1113584 1309166 1526122 1809574 1878304 2227168 2618332 3052244 3619148 3756608 4454336 5236664 6104488 7238296 8509579 10473328 12208976 14476592 17019158 20946656 24417952 28953184 34038316 41893312 48835904 51712057 57906368 68076632 103424114 136153264 206848228 272306528 413696456 544613056 672256741 827392912 1344513482 1654785824 2689026964 3309571648 5378053928 10756107856 21512215712 43024431424