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40132101401125 = 5317101186987077
BaseRepresentation
bin10010001111111111110111…
…01001011110101000100101
312021002120222011000111100121
421013333323221132220211
520230011020424314000
6221204233255441541
711311306612321666
oct1107777351365045
9167076864014317
1040132101401125
1111872a23aa9a48
124601a536862b1
13195159692aac6
149ca592ab736d
15498ddc2c2b1a
hex247ffba5ea25

40132101401125 has 32 divisors (see below), whose sum is σ = 53556090932448. Its totient is φ = 29917932160000.

The previous prime is 40132101400943. The next prime is 40132101401137. The reversal of 40132101401125 is 52110410123104.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6950826419364 + 33181274981761 = 2636442^2 + 5760319^2 .

It is a de Polignac number, because none of the positive numbers 2k-40132101401125 is a prime.

It is a super-2 number, since 2×401321014011252 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 40132101401125.

It is a congruent number.

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, 93278914 + ... + 93708163.

It is an arithmetic number, because the mean of its divisors is an integer number (1673627841639).

Almost surely, 240132101401125 is an apocalyptic number.

It is an amenable number.

40132101401125 is a deficient number, since it is larger than the sum of its proper divisors (13423989531323).

40132101401125 is a wasteful number, since it uses less digits than its factorization.

40132101401125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186987210 (or 186987200 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 40132101401125 its reverse (52110410123104), we get a palindrome (92242511524229).

The spelling of 40132101401125 in words is "forty trillion, one hundred thirty-two billion, one hundred one million, four hundred one thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 101 125 425 505 1717 2125 2525 8585 12625 42925 214625 186987077 934935385 3178780309 4674676925 15893901545 18885694777 23373384625 79469507725 94428473885 321056811209 397347538625 472142369425 1605284056045 2360711847125 8026420280225 40132101401125