Search a number
-
+
40054513624251 = 37478317311872381
BaseRepresentation
bin10010001101101111010110…
…00011100110010010111011
312020211011200220221001101220
421012313223003212102323
520222223120441434001
6221104442312243123
711302562121152610
oct1106675303462273
9166734626831356
1040054513624251
11118430297a38a5
1245aa9bb6a04a3
1319471804a1369
149c6912460507
15496d9a991c36
hex246deb0e64bb

40054513624251 has 128 divisors (see below), whose sum is σ = 63529867247616. Its totient is φ = 21975715453440.

The previous prime is 40054513624241. The next prime is 40054513624273. The reversal of 40054513624251 is 15242631545004.

It is not a de Polignac number, because 40054513624251 - 25 = 40054513624219 is a prime.

It is a super-2 number, since 2×400545136242512 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40054513624241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16822558081 + ... + 16822560461.

It is an arithmetic number, because the mean of its divisors is an integer number (496327087872).

Almost surely, 240054513624251 is an apocalyptic number.

40054513624251 is a deficient number, since it is larger than the sum of its proper divisors (23475353623365).

40054513624251 is a wasteful number, since it uses less digits than its factorization.

40054513624251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 40054513624251 in words is "forty trillion, fifty-four billion, five hundred thirteen million, six hundred twenty-four thousand, two hundred fifty-one".

Divisors: 1 3 7 21 47 83 141 173 249 329 519 581 987 1187 1211 1743 2381 3561 3633 3901 7143 8131 8309 11703 14359 16667 24393 24927 27307 43077 50001 55789 56917 81921 98521 100513 111907 167367 170751 197623 205351 295563 301539 335721 390523 411913 592869 616053 674873 689647 783349 1171569 1235739 1383361 1437457 2024619 2068941 2350047 2826247 2883391 4150083 4312371 4630487 4724111 8478741 8650173 9288281 9651497 13891461 14172333 17044133 19359911 19783729 27864843 28954491 32413409 34188779 51132399 58079733 59351187 65017967 67560479 97240227 102566337 119308931 132833609 135519377 195053901 202681437 234578501 239321453 357926793 398500827 406558131 488940731 703735503 717964359 801074251 929835263 1466822193 1606872613 1642049507 2403222753 2789505789 3422585117 4820617839 4926148521 5607519757 10267755351 11025189547 11248108291 16822559271 22980214357 33075568641 33744324873 40582080673 68940643071 77176326829 121746242019 160861500499 231528980487 284074564711 482584501497 852223694133 1907357791631 5722073374893 13351504541417 40054513624251