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1114400321034 = 23711131709108571
BaseRepresentation
bin10000001101110111011…
…011110110111000001010
310221112110110210212112020
4100031313123312320022
5121224242440233114
62211540510225310
7143340610302540
oct20156733667012
93845413725466
101114400321034
1139a683a24360
1215bb8a4b5236
138111a30b8b0
143bd19bc9d90
151dec4d0caa9
hex103776f6e0a

1114400321034 has 128 divisors (see below), whose sum is σ = 2994294159360. Its totient is φ = 267030086400.

The previous prime is 1114400321017. The next prime is 1114400321051. The reversal of 1114400321034 is 4301230044111.

It is an interprime number because it is at equal distance from previous prime (1114400321017) and next prime (1114400321051).

It is a junction number, because it is equal to n+sod(n) for n = 1114400320995 and 1114400321013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10209969 + ... + 10318539.

It is an arithmetic number, because the mean of its divisors is an integer number (23392923120).

Almost surely, 21114400321034 is an apocalyptic number.

1114400321034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114400321034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497147079680).

1114400321034 is an abundant number, since it is smaller than the sum of its proper divisors (1879893838326).

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

1114400321034 is a wasteful number, since it uses less digits than its factorization.

1114400321034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110316.

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

Adding to 1114400321034 its reverse (4301230044111), we get a palindrome (5415630365145).

The spelling of 1114400321034 in words is "one trillion, one hundred fourteen billion, four hundred million, three hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1709 2002 3003 3418 5127 6006 10254 11963 18799 22217 23926 35889 37598 44434 56397 66651 71778 108571 112794 131593 133302 155519 217142 244387 263186 311038 325713 394779 466557 488774 651426 733161 759997 789558 933114 1194281 1411423 1466322 1519994 1710709 2279991 2388562 2822846 3421418 3582843 4234269 4559982 5132127 7165686 8359967 8468538 9879961 10264254 15525653 16719934 19759922 25079901 29639883 31051306 46576959 50159802 59279766 93153918 108679571 185547839 217359142 326038713 371095678 556643517 652077426 1113287034 1298834873 2041026229 2412121907 2597669746 3896504619 4082052458 4824243814 6123078687 7236365721 7793009238 12246157374 14287183603 14472731442 16884853349 26533340977 28574367206 33769706698 42861550809 50654560047 53066681954 79600022931 85723101618 101309120094 159200045862 185733386839 371466773678 557200160517 1114400321034