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40204202440056 = 233411631232320341
BaseRepresentation
bin10010010010000110001010…
…01101000111010101111000
312021100111001222211202210220
421021003011031013111320
520232201201311040211
6221301320003140040
711316441421123404
oct1111030515072570
9167314058752726
1040204202440056
11118a0563179726
124613a16074620
131958317438155
149cdc7276a104
1549ac0c0a3806
hex2490c5347578

40204202440056 has 128 divisors (see below), whose sum is σ = 103607150250240. Its totient is φ = 12992632243200.

The previous prime is 40204202440049. The next prime is 40204202440057. The reversal of 40204202440056 is 65004420240204.

It is a junction number, because it is equal to n+sod(n) for n = 40204202439999 and 40204202440026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40204202440057) 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, 1976500446 + ... + 1976520786.

It is an arithmetic number, because the mean of its divisors is an integer number (809430861330).

Almost surely, 240204202440056 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 40204202440056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51803575125120).

40204202440056 is an abundant number, since it is smaller than the sum of its proper divisors (63402947810184).

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

40204202440056 is a wasteful number, since it uses less digits than its factorization.

40204202440056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877 (or 32873 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 40204202440056 in words is "forty trillion, two hundred four billion, two hundred two million, four hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 163 164 246 326 328 489 492 652 978 984 1304 1956 3912 6683 12323 13366 20049 20341 24646 26732 36969 40098 40682 49292 53464 61023 73938 80196 81364 98584 122046 147876 160392 162728 244092 295752 488184 505243 833981 1010486 1515729 1667962 2008649 2020972 2501943 3031458 3315583 3335924 4017298 4041944 5003886 6025947 6062916 6631166 6671848 8034596 9946749 10007772 12051894 12125832 13262332 16069192 19893498 20015544 24103788 26524664 39786996 48207576 79573992 82354609 135938903 164709218 247063827 250662143 271877806 329418436 407816709 494127654 501324286 543755612 658836872 751986429 815633418 988255308 1002648572 1087511224 1503972858 1631266836 1976510616 2005297144 3007945716 3262533672 6015891432 10277147863 20554295726 30831443589 40857929309 41108591452 61662887178 81715858618 82217182904 122573787927 123325774356 163431717236 245147575854 246651548712 326863434472 490295151708 980590303416 1675175101669 3350350203338 5025525305007 6700700406676 10051050610014 13401400813352 20102101220028 40204202440056