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135222631614 = 23272981145631
BaseRepresentation
bin111110111101111100…
…1011001110010111110
3110221000220020102100100
41331323321121302332
54203413443202424
6142042002141530
712524641255410
oct1757371316276
9427026212310
10135222631614
1152390717604
12222599518a6
13c99cbb28b5
14678ad609b0
1537b65e4dc9
hex1f7be59cbe

135222631614 has 96 divisors (see below), whose sum is σ = 346817802240. Its totient is φ = 37255982400.

The previous prime is 135222631613. The next prime is 135222631627. The reversal of 135222631614 is 416136222531.

135222631614 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 2 + 2 + 6 + 31 + 614 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135222631613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940579 + ... + 2986209.

It is an arithmetic number, because the mean of its divisors is an integer number (3612685440).

Almost surely, 2135222631614 is an apocalyptic number.

135222631614 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 135222631614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173408901120).

135222631614 is an abundant number, since it is smaller than the sum of its proper divisors (211595170626).

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

135222631614 is a wasteful number, since it uses less digits than its factorization.

135222631614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46486 (or 46483 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 135222631614 in words is "one hundred thirty-five billion, two hundred twenty-two million, six hundred thirty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 811 1218 1622 1827 2433 3654 4866 5677 7299 11354 14598 17031 23519 34062 45631 47038 51093 70557 91262 102186 136893 141114 164633 211671 273786 319417 329266 410679 423342 493899 638834 821358 958251 987798 1323299 1481697 1916502 2646598 2874753 2963394 3969897 5749506 7939794 9263093 11909691 18526186 23819382 27789279 37006741 55578558 74013482 83367837 111020223 166735674 222040446 259047187 333060669 518094374 666121338 777141561 1073195489 1554283122 2146390978 2331424683 3219586467 4662849366 6439172934 7512368423 9658759401 15024736846 19317518802 22537105269 45074210538 67611315807 135222631614