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10040104111344 = 2431997197957349
BaseRepresentation
bin1001001000011010010011…
…0101101100110011110000
31022112211021010012012020120
42102012210311230303300
52303444113123030334
633204205443210240
72054242065562566
oct222064465546360
938484233165216
1010040104111344
113220a9103149a
121161a0a676980
1357aa15960a18
14269d2d47ba36
15126275b42949
hex921a4d6ccf0

10040104111344 has 160 divisors (see below), whose sum is σ = 27597921120000. Its totient is φ = 3136232742912.

The previous prime is 10040104111343. The next prime is 10040104111391. The reversal of 10040104111344 is 44311140104001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040104111343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175041582 + ... + 175098930.

It is an arithmetic number, because the mean of its divisors is an integer number (172487007000).

Almost surely, 210040104111344 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 10040104111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798960560000).

10040104111344 is an abundant number, since it is smaller than the sum of its proper divisors (17557817008656).

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

10040104111344 is a wasteful number, since it uses less digits than its factorization.

10040104111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59455 (or 59449 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10040104111344 its reverse (44311140104001), we get a palindrome (54351244215345).

The spelling of 10040104111344 in words is "ten trillion, forty billion, one hundred four million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1164 1552 1843 1979 2328 3686 3958 4656 5529 5937 7372 7916 11058 11874 14744 15832 22116 23748 29488 31664 37601 44232 47496 57349 75202 88464 94992 112803 114698 150404 172047 191963 225606 229396 300808 344094 383926 451212 458792 575889 601616 688188 767852 902424 917584 1089631 1151778 1376376 1535704 1804848 2179262 2303556 2752752 3071408 3268893 3647297 4358524 4607112 5562853 6537786 7294594 8717048 9214224 10941891 11125706 13075572 14589188 16688559 17434096 21883782 22251412 26151144 29178376 33377118 43767564 44502824 52302288 58356752 66754236 87535128 89005648 105694207 113493671 133508472 175070256 211388414 226987342 267016944 317082621 340481013 422776828 453974684 634165242 680962026 845553656 907949368 1268330484 1361924052 1691107312 1815898736 2156379749 2536660968 2723848104 4312759498 5073321936 5447696208 6469139247 8625518996 11008886087 12938278494 17251037992 22017772174 25876556988 33026658261 34502075984 44035544348 51753113976 66053316522 88071088696 103506227952 132106633044 176142177392 209168835653 264213266088 418337671306 528426532176 627506506959 836675342612 1255013013918 1673350685224 2510026027836 3346701370448 5020052055672 10040104111344