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34103140032 = 2631321051009
BaseRepresentation
bin11111110000101101…
…001001111011000000
310021000201002000100110
4133300231021323000
51024320400440112
623400004351320
72315051623143
oct376055117300
9107021060313
1034103140032
1113510373955
1267390a5540
1332a6489600
14191736a05a
15d48e7413c
hex7f0b49ec0

34103140032 has 84 divisors (see below), whose sum is σ = 97706093640. Its totient is φ = 10493263872.

The previous prime is 34103140031. The next prime is 34103140039. The reversal of 34103140032 is 23004130143.

It is a super-2 number, since 2×341031400322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34103139990 and 34103140008.

It is not an unprimeable number, because it can be changed into a prime (34103140031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493057 + ... + 557952.

Almost surely, 234103140032 is an apocalyptic number.

34103140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34103140032 is an abundant number, since it is smaller than the sum of its proper divisors (63602953608).

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

34103140032 is a wasteful number, since it uses less digits than its factorization.

34103140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051050 (or 1051027 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34103140032 its reverse (23004130143), we get a palindrome (57107270175).

The spelling of 34103140032 in words is "thirty-four billion, one hundred three million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 1051009 2102018 3153027 4204036 6306054 8408072 12612108 13663117 16816144 25224216 27326234 33632288 40989351 50448432 54652468 67264576 81978702 100896864 109304936 163957404 177620521 201793728 218609872 327914808 355241042 437219744 532861563 655829616 710482084 874439488 1065723126 1311659232 1420964168 2131446252 2623318464 2841928336 4262892504 5683856672 8525785008 11367713344 17051570016 34103140032