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34402113343232 = 281709379320731
BaseRepresentation
bin1111101001001110111011…
…01111101100111100000000
311111210210212102120210022122
413310213131233230330000
514002121012003440412
6201100040201423412
710150320303413015
oct764473557547400
9144723772523278
1034402113343232
11aa63944137078
123a3743a19ab68
13162714a65636b
1486d0dd40d70c
153e9d27e7d572
hex1f49ddbecf00

34402113343232 has 72 divisors (see below), whose sum is σ = 68731454922480. Its totient is φ = 17185630371840.

The previous prime is 34402113343211. The next prime is 34402113343259. The reversal of 34402113343232 is 23234331120443.

It is a junction number, because it is equal to n+sod(n) for n = 34402113343192 and 34402113343201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1659442307 + ... + 1659463037.

It is an arithmetic number, because the mean of its divisors is an integer number (954603540590).

Almost surely, 234402113343232 is an apocalyptic number.

34402113343232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34402113343232 is a deficient number, since it is larger than the sum of its proper divisors (34329341579248).

34402113343232 is a wasteful number, since it uses less digits than its factorization.

34402113343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26249 (or 26235 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 34402113343232 its reverse (23234331120443), we get a palindrome (57636444463675).

The spelling of 34402113343232 in words is "thirty-four trillion, four hundred two billion, one hundred thirteen million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 1709 3418 3793 6836 7586 13672 15172 20731 27344 30344 41462 54688 60688 82924 109376 121376 165848 218752 242752 331696 437504 485504 663392 971008 1326784 2653568 5307136 6482237 12964474 25928948 35429279 51857896 70858558 78632683 103715792 141717116 157265366 207431584 283434232 314530732 414863168 566868464 629061464 829726336 1133736928 1258122928 1659452672 2267473856 2516245856 4534947712 5032491712 9069895424 10064983424 20129966848 134383255247 268766510494 537533020988 1075066041976 2150132083952 4300264167904 8600528335808 17201056671616 34402113343232