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40477522338 = 2361124792
BaseRepresentation
bin100101101100101001…
…011111100110100010
310212110221121012000000
4211230221133212202
51130344221203323
630332313440430
72632033156131
oct455451374642
9125427535000
1040477522338
1116191562700
127a17a10116
133a80c97566
141d5db91918
1510bd8aee43
hex96ca5f9a2

40477522338 has 126 divisors (see below), whose sum is σ = 100270157547. Its totient is φ = 12240308520.

The previous prime is 40477522331. The next prime is 40477522339. The reversal of 40477522338 is 83322577404.

40477522338 is a `hidden beast` number, since 404 + 7 + 7 + 5 + 2 + 233 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20238761169 + 20238761169 = 142263^2 + 142263^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=142263.

It is a junction number, because it is equal to n+sod(n) for n = 40477522293 and 40477522302.

It is not an unprimeable number, because it can be changed into a prime (40477522331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 84503983 + ... + 84504461.

Almost surely, 240477522338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40477522338

40477522338 is an abundant number, since it is smaller than the sum of its proper divisors (59792635209).

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

40477522338 is an frugal number, since it uses more digits than its factorization.

40477522338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 40477522338 in words is "forty billion, four hundred seventy-seven million, five hundred twenty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 479 486 594 726 729 891 958 1089 1437 1458 1782 2178 2673 2874 3267 4311 5269 5346 6534 8019 8622 9801 10538 12933 15807 16038 19602 25866 29403 31614 38799 47421 57959 58806 77598 88209 94842 115918 116397 142263 173877 176418 229441 232794 284526 347754 349191 426789 458882 521631 688323 698382 853578 1043262 1280367 1376646 1564893 2064969 2523851 2560734 3129786 3841101 4129938 4694679 5047702 6194907 7571553 7682202 9389358 12389814 14084037 15143106 18584721 22714659 27762361 28168074 37169442 42252111 45429318 55524722 55754163 68143977 83287083 84504222 111508326 136287954 166574166 167262489 204431931 249861249 334524978 408863862 499722498 613295793 749583747 1226591586 1499167494 1839887379 2248751241 3679774758 4497502482 6746253723 13492507446 20238761169 40477522338