Search a number
-
+
114530151453252 = 2231311087247727059
BaseRepresentation
bin11010000010101000100000…
…111111100101001001000100
3120000111222100011201201110120
4122002220200333211021010
5110002430222233001002
61043330231503221540
733060346630523013
oct3202504077451104
9500458304651416
10114530151453252
1133546a67778367
1210a18863ba78b0
134bba1baa9a252
14203d408a94a7a
15d392d3394cbc
hex682a20fe5244

114530151453252 has 96 divisors (see below), whose sum is σ = 269643497840640. Its totient is φ = 37833759749760.

The previous prime is 114530151453247. The next prime is 114530151453253. The reversal of 114530151453252 is 252354151035411.

It is not an unprimeable number, because it can be changed into a prime (114530151453253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4232594899 + ... + 4232621957.

It is an arithmetic number, because the mean of its divisors is an integer number (2808786435840).

Almost surely, 2114530151453252 is an apocalyptic number.

114530151453252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114530151453252 is an abundant number, since it is smaller than the sum of its proper divisors (155113346387388).

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

114530151453252 is a wasteful number, since it uses less digits than its factorization.

114530151453252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30761 (or 30759 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 114530151453252 in words is "one hundred fourteen trillion, five hundred thirty billion, one hundred fifty-one million, four hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1087 1572 2174 2477 3261 4348 4954 6522 7431 9908 13044 14862 27059 29724 54118 81177 108236 142397 162354 284794 324487 324708 427191 569588 648974 854382 973461 1297948 1708764 1946922 2692499 3544729 3893844 5384998 7089458 8077497 10634187 10769996 14178916 16154994 21268374 29413133 32309988 42536748 58826266 67025143 88239399 117652532 134050286 176478798 201075429 268100572 352717369 352957596 402150858 705434738 804301716 1058152107 1410869476 2116304214 3853120423 4232608428 7706240846 8780293733 11559361269 15412481692 17560587466 23118722538 26340881199 35121174932 46237445076 52681762398 72856330441 105363524796 145712660882 218568991323 291425321764 437137982646 874275965292 9544179287771 19088358575542 28632537863313 38176717151084 57265075726626 114530151453252