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40804109974496 = 2511265926715987
BaseRepresentation
bin10010100011100011100100…
…11110101111101111100000
312100110211112120201002101202
421101301302132233233200
520322013304123140441
6222441052131420332
711410666612046501
oct1121616236575740
9170424476632352
1040804109974496
1112001a20357500
1246b0139a546a8
13199ca70b8c3bb
14a10d02620ba8
154ab61dc5919b
hex251c727afbe0

40804109974496 has 144 divisors (see below), whose sum is σ = 88481886071040. Its totient is φ = 18509152569600.

The previous prime is 40804109974487. The next prime is 40804109974547. The reversal of 40804109974496 is 69447990140804.

40804109974496 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6815448815 + ... + 6815454801.

It is an arithmetic number, because the mean of its divisors is an integer number (614457542160).

Almost surely, 240804109974496 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 40804109974496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44240943035520).

40804109974496 is an abundant number, since it is smaller than the sum of its proper divisors (47677776096544).

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

40804109974496 is a wasteful number, since it uses less digits than its factorization.

40804109974496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 65.

The spelling of 40804109974496 in words is "forty trillion, eight hundred four billion, one hundred nine million, nine hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 659 968 1318 1936 2636 2671 3872 5272 5342 5987 7249 10544 10684 11974 14498 21088 21368 23948 28996 29381 42736 47896 57992 58762 65857 79739 85472 95792 115984 117524 131714 159478 191584 231968 235048 263428 318956 323191 470096 526856 637912 646382 724427 940192 1053712 1275824 1292764 1448854 1760189 2107424 2551648 2585528 2897708 3520378 3945433 5171056 5795416 7040756 7890866 10342112 11590832 14081512 15781732 15991277 19362079 23181664 28163024 31563464 31982554 38724158 43399763 56326048 63126928 63965108 77448316 86799526 126253856 127930216 154896632 173599052 175904047 212982869 255860432 309793264 347198104 351808094 425965738 477397393 511720864 619586528 694396208 703616188 851931476 954794786 1388792416 1407232376 1703862952 1909589572 1934944517 2814464752 3407725904 3819179144 3869889034 5628929504 6815451808 7638358288 7739778068 10538251543 15276716576 15479556136 21076503086 30959112272 42153006172 61918224544 84306012344 115920766973 168612024688 231841533946 337224049376 463683067892 927366135784 1275128436703 1854732271568 2550256873406 3709464543136 5100513746812 10201027493624 20402054987248 40804109974496