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40285545317824 = 2617233971163661
BaseRepresentation
bin10010010100011101101011…
…00111100100010111000000
312021122021000220211002210111
421022032311213210113000
520240014244100132244
6221402531331241104
711325351240150502
oct1112166547442700
9167567026732714
1040285545317824
11119220050a9744
124627737749194
131962bab83b5a1
149d3b8b9c7d72
1549cdbd3d1e34
hex24a3b59e45c0

40285545317824 has 112 divisors (see below), whose sum is σ = 85095423200736. Its totient is φ = 18856983756800.

The previous prime is 40285545317819. The next prime is 40285545317833. The reversal of 40285545317824 is 42871354558204.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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, 246070554 + ... + 246234214.

Almost surely, 240285545317824 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 40285545317824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547711600368).

40285545317824 is an abundant number, since it is smaller than the sum of its proper divisors (44809877882912).

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

40285545317824 is a wasteful number, since it uses less digits than its factorization.

40285545317824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164894 (or 164884 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 58.

The spelling of 40285545317824 in words is "forty trillion, two hundred eighty-five billion, five hundred forty-five million, three hundred seventeen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 233 272 466 544 932 971 1088 1864 1942 3728 3884 3961 7456 7768 7922 14912 15536 15844 16507 31072 31688 33014 62144 63376 66028 126752 132056 163661 226243 253504 264112 327322 452486 528224 654644 904972 1056448 1309288 1809944 2618576 2782237 3619888 3846131 5237152 5564474 7239776 7692262 10474304 11128948 14479552 15384524 22257896 30769048 38133013 44515792 61538096 76266026 89031584 123076192 152532052 158914831 178063168 246152384 305064104 317829662 610128208 635659324 648261221 1220256416 1271318648 1296522442 2440512832 2542637296 2593044884 2701552127 5085274592 5186089768 5403104254 10170549184 10372179536 10806208508 20744359072 21612417016 37027155623 41488718144 43224834032 74054311246 86449668064 148108622492 172899336128 296217244984 592434489968 629461645591 1184868979936 1258923291182 2369737959872 2517846582364 5035693164728 10071386329456 20142772658912 40285545317824