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1114132966542 = 234174315991567
BaseRepresentation
bin10000001101100111011…
…111111110110010001110
310221111202211201212010000
4100031213133332302032
5121223221014412132
62211454200025130
7143331152650431
oct20154737766216
93844684655100
101114132966542
1139a557017a32
1215bb14a621a6
13810a6b00c7b
143bcd24b3818
151deab5eb87c
hex103677fec8e

1114132966542 has 160 divisors (see below), whose sum is σ = 2655584870400. Its totient is φ = 347916591360.

The previous prime is 1114132966511. The next prime is 1114132966579. The reversal of 1114132966542 is 2456692314111.

1114132966542 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 13 + 2 + 96 + 6 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 710996643 + ... + 710998209.

It is an arithmetic number, because the mean of its divisors is an integer number (16597405440).

Almost surely, 21114132966542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114132966542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327792435200).

1114132966542 is an abundant number, since it is smaller than the sum of its proper divisors (1541451903858).

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

1114132966542 is a wasteful number, since it uses less digits than its factorization.

1114132966542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2619 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 1114132966542 in words is "one trillion, one hundred fourteen billion, one hundred thirty-two million, nine hundred sixty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 431 459 599 862 918 1198 1293 1377 1567 1797 2586 2754 3134 3594 3879 4701 5391 7327 7758 9402 10183 10782 11637 14103 14654 16173 20366 21981 23274 26639 28206 30549 32346 34911 42309 43962 48519 53278 61098 65943 69822 79917 84618 91647 97038 126927 131886 159834 183294 197829 239751 253854 258169 274941 395658 479502 516338 549882 593487 675377 719253 774507 824823 938633 1186974 1350754 1438506 1549014 1649646 1877266 2026131 2157759 2323521 2815899 4052262 4315518 4388873 4647042 5631798 6078393 6970563 8447697 8777746 11481409 12156786 13166619 13941126 15956761 16895394 18235179 20911689 22962818 25343091 26333238 31913522 34444227 36470358 39499857 41823378 47870283 50686182 54705537 68888454 76029273 78999714 95740566 103332681 109411074 118499571 143610849 152058546 206665362 236999142 287221698 309998043 355498713 404550823 430832547 619996086 710997426 809101646 861665094 929994129 1213652469 1292497641 1859988258 2427304938 2584995282 3640957407 6877363991 7281914814 10922872221 13754727982 20632091973 21845744442 32768616663 41264183946 61896275919 65537233326 123792551838 185688827757 371377655514 557066483271 1114132966542