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240969379462656 = 2931336713287327
BaseRepresentation
bin110110110010100100001110…
…010000111011111000000000
31011121012110002101001000210020
4312302210032100323320000
5223041020242120301111
62212255445451533440
7101520314601014625
oct6662441620737000
91147173071030706
10240969379462656
116a8645a37143a9
122303959175a280
13a45c413020610
144370da192a34c
151ccd2771c0906
hexdb290e43be00

240969379462656 has 160 divisors (see below), whose sum is σ = 691527367415808. Its totient is φ = 74124204564480.

The previous prime is 240969379462561. The next prime is 240969379462661. The reversal of 240969379462656 is 656264973969042.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71658865 + ... + 74946191.

Almost surely, 2240969379462656 is an apocalyptic number.

240969379462656 is a gapful number since it is divisible by the number (26) 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 240969379462656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345763683707904).

240969379462656 is an abundant number, since it is smaller than the sum of its proper divisors (450557987953152).

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

240969379462656 is a wasteful number, since it uses less digits than its factorization.

240969379462656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291032 (or 3291016 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 78.

The spelling of 240969379462656 in words is "two hundred forty trillion, nine hundred sixty-nine billion, three hundred seventy-nine million, four hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 3671 4992 6656 7342 9984 11013 14684 19968 22026 29368 44052 47723 58736 88104 95446 117472 143169 176208 190892 234944 286338 352416 381784 469888 572676 704832 763568 939776 1145352 1409664 1527136 1879552 2290704 2819328 3054272 3287327 4581408 5638656 6108544 6574654 9162816 9861981 12217088 13149308 18325632 19723962 24434176 26298616 36651264 39447924 42735251 52597232 73302528 78895848 85470502 105194464 128205753 157791696 170941004 210388928 256411506 315583392 341882008 420777856 512823012 631166784 683764016 841555712 1025646024 1262333568 1367528032 1683111424 2051292048 2524667136 2735056064 4102584096 5049334272 5470112128 8205168192 10940224256 12067777417 16410336384 21880448512 24135554834 32820672768 36203332251 48271109668 65641345536 72406664502 96542219336 144813329004 156881106421 193084438672 289626658008 313762212842 386168877344 470643319263 579253316016 627524425684 772337754688 941286638526 1158506632032 1255048851368 1544675509376 1882573277052 2317013264064 2510097702736 3089351018752 3765146554104 4634026528128 5020195405472 6178702037504 7530293108208 9268053056256 10040390810944 15060586216416 18536106112512 20080781621888 30121172432832 40161563243776 60242344865664 80323126487552 120484689731328 240969379462656