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41362107274440 = 23325810971416757
BaseRepresentation
bin10010110011110010111011…
…01101100001010011001000
312102110011211101001220101100
421121321131231201103020
520410134043430240230
6223545253442221400
711466212401615161
oct1131713555412310
9172404741056340
1041362107274440
11121a7631280847
124780306054860
131a10578886024
14a2dd18338768
154badcb397660
hex259e5db614c8

41362107274440 has 96 divisors (see below), whose sum is σ = 134428601132280. Its totient is φ = 11029751479296.

The previous prime is 41362107274427. The next prime is 41362107274483. The reversal of 41362107274440 is 4447270126314.

41362107274440 is a `hidden beast` number, since 4 + 1 + 3 + 62 + 10 + 72 + 74 + 440 = 666.

41362107274440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33918999296004 + 7443107978436 = 5824002^2 + 2728206^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28486542 + ... + 29903298.

Almost surely, 241362107274440 is an apocalyptic number.

41362107274440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41362107274440 is an abundant number, since it is smaller than the sum of its proper divisors (93066493857840).

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

41362107274440 is a wasteful number, since it uses less digits than its factorization.

41362107274440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497871 (or 1497864 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 41362107274440 in words is "forty-one trillion, three hundred sixty-two billion, one hundred seven million, two hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 81097 162194 243291 324388 405485 486582 648776 729873 810970 973164 1216455 1416757 1459746 1621940 1946328 2432910 2833514 2919492 3243880 3649365 4250271 4865820 5667028 5838984 7083785 7298730 8500542 9731640 11334056 12750813 14167570 14597460 17001084 21251355 25501626 28335140 29194920 34002168 42502710 51003252 56670280 63754065 85005420 102006504 127508130 170010840 255016260 510032520 114894742429 229789484858 344684227287 459578969716 574473712145 689368454574 919157939432 1034052681861 1148947424290 1378736909148 1723421136435 2068105363722 2297894848580 2757473818296 3446842272870 4136210727444 4595789697160 5170263409305 6893684545740 8272421454888 10340526818610 13787369091480 20681053637220 41362107274440