Search a number
-
+
113706482142 = 231137436731609
BaseRepresentation
bin110100111100101101…
…1110011100111011110
3101212111101210210000110
41221321123303213132
53330332324412032
6124122552310450
711133516102561
oct1517133634736
9355441723013
10113706482142
114424a387aa0
121a0540a2426
13a9513800c6
1457095704d8
152e576de7cc
hex1a796f39de

113706482142 has 128 divisors (see below), whose sum is σ = 261266987520. Its totient is φ = 32676618240.

The previous prime is 113706482117. The next prime is 113706482143. The reversal of 113706482142 is 241284607311.

It is a super-2 number, since 2×1137064821422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113706482142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113706482143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70668234 + ... + 70669842.

It is an arithmetic number, because the mean of its divisors is an integer number (2041148340).

Almost surely, 2113706482142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113706482142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130633493760).

113706482142 is an abundant number, since it is smaller than the sum of its proper divisors (147560505378).

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

113706482142 is a wasteful number, since it uses less digits than its factorization.

113706482142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378.

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 113706482142 in words is "one hundred thirteen billion, seven hundred six million, four hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 407 473 673 814 946 1221 1346 1419 1591 1609 2019 2442 2838 3182 3218 4038 4773 4827 7403 9546 9654 14806 17501 17699 22209 24901 28939 35002 35398 44418 49802 52503 53097 57878 59533 69187 74703 86817 105006 106194 119066 138374 149406 173634 178599 207561 273911 318329 357198 415122 547822 636658 654863 761057 821733 954987 1070743 1082857 1309726 1522114 1643466 1909974 1964589 2141486 2165714 2283171 2559919 3212229 3248571 3929178 4566342 5119838 6424458 6497142 7679757 11778173 11911427 15359514 23556346 23822854 28159109 35334519 35734281 40065709 46562851 56318218 70669038 71468562 80131418 84477327 93125702 120197127 139688553 168954654 240394254 279377106 440722799 512191361 881445598 1024382722 1322168397 1536574083 1722825487 2644336794 3073148166 3445650974 5168476461 10336952922 18951080357 37902160714 56853241071 113706482142