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10141140014031 = 3134143957125301
BaseRepresentation
bin1001001110010010101100…
…0011000101001111001111
31022220111001111001211211110
42103210223003011033033
52312123023320422111
633322435253223103
72064446621563545
oct223445303051717
938814044054743
1010141140014031
11325a919182614
121179507331a93
135873c7c6b220
14270b95d13d95
15128bdaca15a6
hex9392b0c53cf

10141140014031 has 64 divisors (see below), whose sum is σ = 14977553310720. Its totient is φ = 6063742080000.

The previous prime is 10141140013999. The next prime is 10141140014041. The reversal of 10141140014031 is 13041004114101.

10141140014031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141140014031 - 25 = 10141140013999 is a prime.

It is a super-2 number, since 2×101411400140312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10141140013989 and 10141140014007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141140014041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400807081 + ... + 400832381.

It is an arithmetic number, because the mean of its divisors is an integer number (234024270480).

Almost surely, 210141140014031 is an apocalyptic number.

10141140014031 is a deficient number, since it is larger than the sum of its proper divisors (4836413296689).

10141140014031 is a wasteful number, since it uses less digits than its factorization.

10141140014031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26368.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10141140014031 its reverse (13041004114101), we get a palindrome (23182144128132).

The spelling of 10141140014031 in words is "ten trillion, one hundred forty-one billion, one hundred forty million, fourteen thousand, thirty-one".

Divisors: 1 3 13 39 41 123 439 533 571 1317 1599 1713 5707 7423 17121 17999 22269 23411 25301 53997 70233 75903 233987 250669 304343 328913 701961 752007 913029 986739 1037341 3112023 3258697 9776091 10277429 11107139 13485433 14446871 30832287 33321417 40456299 43340613 133606577 144392807 187809323 400819731 433178421 455392699 563427969 592321711 1366178097 1776965133 5920105087 6342176369 7700182243 17760315261 19026529107 23100546729 82448292797 247344878391 260029231129 780087693387 3380380004677 10141140014031