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40572943824 = 24371924126371
BaseRepresentation
bin100101110010010101…
…011111110111010000
310212201121011002200010
4211302111133313100
51131043133200244
630350002554520
72634302221650
oct456225376720
9125647132603
1040572943824
1116230407236
127a43968a40
133a9799708a
141d6c710360
1510c6e5ceb9
hex97255fdd0

40572943824 has 160 divisors (see below), whose sum is σ = 126619356160. Its totient is φ = 10936166400.

The previous prime is 40572943777. The next prime is 40572943849. The reversal of 40572943824 is 42834927504.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525359 + ... + 1551729.

It is an arithmetic number, because the mean of its divisors is an integer number (791370976).

Almost surely, 240572943824 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 40572943824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63309678080).

40572943824 is an abundant number, since it is smaller than the sum of its proper divisors (86046412336).

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

40572943824 is a wasteful number, since it uses less digits than its factorization.

40572943824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26649 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 40572943824 in words is "forty billion, five hundred seventy-two million, nine hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 241 266 304 336 399 456 482 532 723 798 912 964 1064 1446 1596 1687 1928 2128 2892 3192 3374 3856 4579 5061 5784 6384 6748 9158 10122 11568 13496 13737 18316 20244 26371 26992 27474 32053 36632 40488 52742 54948 64106 73264 79113 80976 96159 105484 109896 128212 158226 184597 192318 210968 219792 256424 316452 369194 384636 421936 501049 512848 553791 632904 738388 769272 1002098 1107582 1265808 1476776 1503147 1538544 2004196 2215164 2953552 3006294 3507343 4008392 4430328 6012588 6355411 7014686 8016784 8860656 10522029 12025176 12710822 14029372 19066233 21044058 24050352 25421644 28058744 38132466 42088116 44487877 50843288 56117488 76264932 84176232 88975754 101686576 120752809 133463631 152529864 168352464 177951508 241505618 266927262 305059728 355903016 362258427 483011236 533854524 711806032 724516854 845269663 966022472 1067709048 1449033708 1690539326 1932044944 2135418096 2535808989 2898067416 3381078652 5071617978 5796134832 6762157304 10143235956 13524314608 20286471912 40572943824