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1114004131140 = 2235167683162779
BaseRepresentation
bin10000001101011111110…
…100100000110101000100
310221111102212022100011110
4100031133310200311010
5121222440024144030
62211433314405020
7143325026610135
oct20153764406504
93844385270143
101114004131140
1139a4a0320a9a
1215ba99890770
13810862025c4
143bcbd337c8c
151dea014d1b0
hex1035fd20d44

1114004131140 has 96 divisors (see below), whose sum is σ = 3142503060480. Its totient is φ = 294854766976.

The previous prime is 1114004131139. The next prime is 1114004131151. The reversal of 1114004131140 is 411314004111.

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, 6762271 + ... + 6925049.

It is an arithmetic number, because the mean of its divisors is an integer number (32734406880).

Almost surely, 21114004131140 is an apocalyptic number.

1114004131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114004131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571251530240).

1114004131140 is an abundant number, since it is smaller than the sum of its proper divisors (2028498929340).

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

1114004131140 is a wasteful number, since it uses less digits than its factorization.

1114004131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163641 (or 163639 counting only the distinct ones).

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

Adding to 1114004131140 its reverse (411314004111), we get a palindrome (1525318135251).

The spelling of 1114004131140 in words is "one trillion, one hundred fourteen billion, four million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 683 835 1002 1366 1670 2004 2049 2505 2732 3340 3415 4098 5010 6830 8196 10020 10245 13660 20490 40980 114061 162779 228122 325558 342183 456244 488337 570305 651116 684366 813895 976674 1140610 1368732 1627790 1710915 1953348 2281220 2441685 3255580 3421830 4883370 6843660 9766740 27184093 54368186 81552279 108736372 111178057 135920465 163104558 222356114 271840930 326209116 333534171 407761395 444712228 543681860 555890285 667068342 815522790 1111780570 1334136684 1631045580 1667670855 2223561140 3335341710 6670683420 18566735519 37133471038 55700206557 74266942076 92833677595 111400413114 185667355190 222800826228 278501032785 371334710380 557002065570 1114004131140