Search a number
-
+
14134298989120 = 265127741298377
BaseRepresentation
bin1100110110101110010111…
…0111101101001001000000
31212001020002121011110210121
43031223211313231021000
53323034021020122440
650021112440310024
72656112051050642
oct315534567551100
955036077143717
1014134298989120
11455a360331992
1217033a4172314
137b6b21682b0b
1436c16487a892
151979eb39634a
hexcdae5ded240

14134298989120 has 112 divisors (see below), whose sum is σ = 33695835773040. Its totient is φ = 5647249833984.

The previous prime is 14134298989091. The next prime is 14134298989127. The reversal of 14134298989120 is 2198989243141.

It can be written as a sum of positive squares in 8 ways, for example, as 371504878144 + 13762794110976 = 609512^2 + 3709824^2 .

It is not an unprimeable number, because it can be changed into a prime (14134298989127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687270372 + ... + 1687278748.

It is an arithmetic number, because the mean of its divisors is an integer number (300855676545).

Almost surely, 214134298989120 is an apocalyptic number.

14134298989120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14134298989120 is an abundant number, since it is smaller than the sum of its proper divisors (19561536783920).

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

14134298989120 is a wasteful number, since it uses less digits than its factorization.

14134298989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13790 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 14134298989120 in words is "fourteen trillion, one hundred thirty-four billion, two hundred ninety-eight million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1277 2554 4129 5108 6385 8258 8377 10216 12770 16516 16754 20432 20645 25540 33032 33508 40864 41290 41885 51080 66064 67016 81728 82580 83770 102160 132128 134032 165160 167540 204320 264256 268064 330320 335080 408640 536128 660640 670160 1321280 1340320 2680640 5272733 10545466 10697429 21090932 21394858 26363665 34588633 42181864 42789716 52727330 53487145 69177266 84363728 85579432 105454660 106974290 138354532 168727456 171158864 172943165 210909320 213948580 276709064 337454912 342317728 345886330 421818640 427897160 553418128 684635456 691772660 843637280 855794320 1106836256 1383545320 1687274560 1711588640 2213672512 2767090640 3423177280 5534181280 11068362560 44169684341 88339368682 176678737364 220848421705 353357474728 441696843410 706714949456 883393686820 1413429898912 1766787373640 2826859797824 3533574747280 7067149494560 14134298989120