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40371104838276 = 2232277238232
BaseRepresentation
bin10010010110111101000010…
…10111001111001010000100
312021221102212201011002010100
421023132201113033022010
520242420010314311101
6221510121324524100
711334500420112522
oct1113364127171204
9167842781132110
1040371104838276
1111955320232823
1246402353b0630
13196ac956c6974
149d7d86c71312
154a02299cae86
hex24b7a15cf284

40371104838276 has 81 divisors (see below), whose sum is σ = 102445717471461. Its totient is φ = 13404946280544.

The previous prime is 40371104838269. The next prime is 40371104838277. The reversal of 40371104838276 is 67283840117304.

The square root of 40371104838276 is 6353826.

It is a perfect power (a square), and thus also a powerful number.

40371104838276 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 1 + 10 + 483 + 82 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6958358136900 + 33412746701376 = 2637870^2 + 5780376^2 .

It is a super-2 number, since 2×403711048382762 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40371104838277) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10560056901 + ... + 10560060723.

Almost surely, 240371104838276 is an apocalyptic number.

40371104838276 is the 6353826-th square number.

It is an amenable number.

40371104838276 is an abundant number, since it is smaller than the sum of its proper divisors (62074612633185).

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

40371104838276 is an frugal number, since it uses more digits than its factorization.

40371104838276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 40371104838276 in words is "forty trillion, three hundred seventy-one billion, one hundred four million, eight hundred thirty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 3823 4986 7646 9972 11469 15292 22938 34407 45876 68814 76729 137628 153458 230187 306916 460374 690561 920748 1058971 1381122 2117942 2762244 3176913 4235884 6353826 9530739 12707652 14615329 19061478 29230658 38122956 43845987 58461316 87691974 131537961 175383948 263075922 293334967 526151844 586669934 880004901 1173339868 1760009802 2640014703 3520019604 4048446133 5280029406 8096892266 10560058812 12145338399 16193784532 24290676798 36436015197 48581353596 72872030394 145744060788 1121419578841 2242839157682 3364258736523 4485678315364 6728517473046 10092776209569 13457034946092 20185552419138 40371104838276