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1124137427274 = 232319781125609
BaseRepresentation
bin10000010110111011110…
…011111110000101001010
310222110121001220010012200
4100112323303332011022
5121404213140133044
62220231022221030
7144134113321431
oct20267363760512
93873531803180
101124137427274
113a38202a93a4
12161a47424776
138200c6c0914
143c5a1078118
151e394a8b369
hex105bbcfe14a

1124137427274 has 96 divisors (see below), whose sum is σ = 2543350817280. Its totient is φ = 358430054400.

The previous prime is 1124137427249. The next prime is 1124137427321. The reversal of 1124137427274 is 4727247314211.

It is a happy number.

1124137427274 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 374 + 2 + 7 + 274 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43883382 + ... + 43908990.

It is an arithmetic number, because the mean of its divisors is an integer number (26493237680).

Almost surely, 21124137427274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124137427274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271675408640).

1124137427274 is an abundant number, since it is smaller than the sum of its proper divisors (1419213390006).

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

1124137427274 is a wasteful number, since it uses less digits than its factorization.

1124137427274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26556 (or 26553 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The spelling of 1124137427274 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-seven million, four hundred twenty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 62 93 97 186 194 279 291 558 582 811 873 1622 1746 2433 3007 4866 6014 7299 9021 14598 18042 25141 25609 27063 50282 51218 54126 75423 76827 78667 150846 153654 157334 226269 230481 236001 452538 460962 472002 708003 793879 1416006 1587758 2381637 2438677 2484073 4763274 4877354 4968146 7144911 7316031 7452219 14289822 14632062 14904438 20768899 21948093 22356657 41537798 43896186 44713314 62306697 77006263 124613394 154012526 186920091 231018789 373840182 462037578 643835869 693056367 1287671738 1386112734 1931507607 2014583203 3863015214 4029166406 5794522821 6043749609 11589045642 12087499218 18131248827 36262497654 62452079293 124904158586 187356237879 374712475758 562068713637 1124137427274