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1014240314031 = 372171033392893
BaseRepresentation
bin11101100001001010110…
…11110000001010101111
310120221221011002022221020
432300211123300022233
5113104131010022111
62053534025505223
7133163551265400
oct16604533601257
93527834068836
101014240314031
1136115624166a
12144697042213
1374847608469
14371377d79a7
151b5b1a18906
hexec256f02af

1014240314031 has 48 divisors (see below), whose sum is σ = 1667259833184. Its totient is φ = 544944347136.

The previous prime is 1014240313987. The next prime is 1014240314069. The reversal of 1014240314031 is 1304130424101.

It is not a de Polignac number, because 1014240314031 - 218 = 1014240051887 is a prime.

It is a super-2 number, since 2×10142403140312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014240313992 and 1014240314010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014240314071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385021 + ... + 2777913.

It is an arithmetic number, because the mean of its divisors is an integer number (34734579858).

Almost surely, 21014240314031 is an apocalyptic number.

1014240314031 is a deficient number, since it is larger than the sum of its proper divisors (653019519153).

1014240314031 is a wasteful number, since it uses less digits than its factorization.

1014240314031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393960 (or 393953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1014240314031 its reverse (1304130424101), we get a palindrome (2318370738132).

The spelling of 1014240314031 in words is "one trillion, fourteen billion, two hundred forty million, three hundred fourteen thousand, thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 1033 2499 3099 7231 17561 21693 50617 52683 122927 151851 368781 392893 860489 1178679 2581467 2750251 6679181 8250753 19251757 20037543 46754267 57755271 140262801 327279869 405858469 981839607 1217575407 2841009283 6899593973 8523027849 19887064981 20698781919 48297157811 59661194943 144891473433 338080104677 1014240314031