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1042141032 = 2333191971289
BaseRepresentation
bin111110000111011…
…100111101101000
32200121222020202000
4332013130331220
54113242003112
6251224411000
734553024022
oct7607347550
92617866660
101042141032
11495296a89
12251016a60
13137ba33ca
149c59b012
15617577dc
hex3e1dcf68

1042141032 has 128 divisors (see below), whose sum is σ = 3065040000. Its totient is φ = 327172608.

The previous prime is 1042141007. The next prime is 1042141057. The reversal of 1042141032 is 2301412401.

It is an interprime number because it is at equal distance from previous prime (1042141007) and next prime (1042141057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042140996 and 1042141014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807844 + ... + 809132.

It is an arithmetic number, because the mean of its divisors is an integer number (23945625).

Almost surely, 21042141032 is an apocalyptic number.

1042141032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532520000).

1042141032 is an abundant number, since it is smaller than the sum of its proper divisors (2022898968).

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

1042141032 is a wasteful number, since it uses less digits than its factorization.

1042141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042141032 is about 32282.2092180817. The cubic root of 1042141032 is about 1013.8541858183.

Adding to 1042141032 its reverse (2301412401), we get a palindrome (3343553433).

The spelling of 1042141032 in words is "one billion, forty-two million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 197 216 228 342 394 456 513 591 684 788 1026 1182 1289 1368 1576 1773 2052 2364 2578 3546 3743 3867 4104 4728 5156 5319 7092 7486 7734 10312 10638 11229 11601 14184 14972 15468 21276 22458 23202 24491 29944 30936 33687 34803 42552 44916 46404 48982 67374 69606 73473 89832 92808 97964 101061 134748 139212 146946 195928 202122 220419 253933 269496 278424 293892 404244 440838 507866 587784 661257 761799 808488 881676 1015732 1322514 1523598 1763352 2031464 2285397 2645028 3047196 4570794 4824727 5290056 6094392 6856191 9141588 9649454 13712382 14474181 18283176 19298908 27424764 28948362 38597816 43422543 54849528 57896724 86845086 115793448 130267629 173690172 260535258 347380344 521070516 1042141032