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10413401114431 = 737101398081009
BaseRepresentation
bin1001011110001000111100…
…0100110000011100111111
31100212111210211100202211201
42113202033010300130333
52331103121141130211
634051503405400331
72123225534005630
oct227421704603477
940774724322751
1010413401114431
1133553314a7aa7
12120222ab690a7
135a6c96caa173
14280023031887
15130d230c20c1
hex9788f13073f

10413401114431 has 16 divisors (see below), whose sum is σ = 12343695958080. Its totient is φ = 8598549772800.

The previous prime is 10413401114429. The next prime is 10413401114489. The reversal of 10413401114431 is 13441110431401.

It is a cyclic number.

It is not a de Polignac number, because 10413401114431 - 21 = 10413401114429 is a prime.

It is a super-2 number, since 2×104134011144312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10413401114431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413401114401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 199014346 + ... + 199066663.

It is an arithmetic number, because the mean of its divisors is an integer number (771480997380).

Almost surely, 210413401114431 is an apocalyptic number.

10413401114431 is a deficient number, since it is larger than the sum of its proper divisors (1930294843649).

10413401114431 is a wasteful number, since it uses less digits than its factorization.

10413401114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398081154.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 10413401114431 its reverse (13441110431401), we get a palindrome (23854511545832).

The spelling of 10413401114431 in words is "ten trillion, four hundred thirteen billion, four hundred one million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 7 37 101 259 707 3737 26159 398081009 2786567063 14728997333 40206181909 103102981331 281443273363 1487628730633 10413401114431