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40554034050984 = 23361397652910687
BaseRepresentation
bin10010011100010001110001…
…10010110011011110101000
312022120221001100201220210120
421032020320302303132220
520303414130204112414
6222130133244443240
711353634524552416
oct1116107062633650
9168527040656716
1040554034050984
1111a15961a86853
12466b787b49520
1319822c916976c
14a02b7bac82b6
154a4d844442a9
hex24e238cb37a8

40554034050984 has 128 divisors (see below), whose sum is σ = 103332191078400. Its totient is φ = 13259640176640.

The previous prime is 40554034050967. The next prime is 40554034051019. The reversal of 40554034050984 is 48905043045504.

It is a happy number.

It is a super-2 number, since 2×405540340509842 (a number of 28 digits) contains 22 as substring.

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, 3794701689 + ... + 3794712375.

It is an arithmetic number, because the mean of its divisors is an integer number (807282742800).

Almost surely, 240554034050984 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 40554034050984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51666095539200).

40554034050984 is an abundant number, since it is smaller than the sum of its proper divisors (62778157027416).

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

40554034050984 is a wasteful number, since it uses less digits than its factorization.

40554034050984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683 (or 17679 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 40554034050984 in words is "forty trillion, five hundred fifty-four billion, thirty-four million, fifty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 397 488 732 794 1191 1464 1588 2382 3176 4764 6529 9528 10687 13058 19587 21374 24217 26116 32061 39174 42748 48434 52232 64122 72651 78348 85496 96868 128244 145302 156696 193736 256488 290604 398269 581208 651907 796538 1194807 1303814 1593076 1955721 2389614 2592013 2607628 3186152 3911442 4242739 4779228 5184026 5215256 7776039 7822884 8485478 9558456 10368052 12728217 15552078 15645768 16970956 20736104 25456434 31104156 33941912 50912868 62208312 69775423 101825736 139550846 158112793 209326269 258807079 279101692 316225586 418652538 474338379 517614158 558203384 632451172 776421237 837305076 948676758 1035228316 1264902344 1552842474 1674610152 1897353516 2070456632 3105684948 3794707032 4256300803 6211369896 8512601606 12768902409 17025203212 25537804818 27700842931 34050406424 51075609636 55401685862 83102528793 102151219272 110803371724 166205057586 221606743448 332410115172 664820230344 1689751418791 3379502837582 5069254256373 6759005675164 10138508512746 13518011350328 20277017025492 40554034050984