Search a number
-
+
145331442516 = 223132586112227
BaseRepresentation
bin1000011101011001101…
…1011101001101010100
3111220010101202012222010
42013112123131031110
54340114322130031
6150433033104220
713333306610331
oct2072633351524
9456111665863
10145331442516
11566a88a0887
12241bb258070
13109212aa100
147069729988
153ba8ce8246
hex21d66dd354

145331442516 has 72 divisors (see below), whose sum is σ = 367291066464. Its totient is φ = 44706080640.

The previous prime is 145331442467. The next prime is 145331442523. The reversal of 145331442516 is 615244133541.

145331442516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453314425162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11879995 + ... + 11892221.

It is an arithmetic number, because the mean of its divisors is an integer number (5101264812).

Almost surely, 2145331442516 is an apocalyptic number.

It is an amenable number.

145331442516 is an abundant number, since it is smaller than the sum of its proper divisors (221959623948).

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

145331442516 is a wasteful number, since it uses less digits than its factorization.

145331442516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18106 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 145331442516 in words is "one hundred forty-five billion, three hundred thirty-one million, four hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 5861 11722 12227 17583 23444 24454 35166 36681 48908 70332 73362 76193 146724 152386 158951 228579 304772 317902 457158 476853 635804 914316 953706 990509 1907412 1981018 2066363 2971527 3962036 4132726 5943054 6199089 8265452 11886108 12398178 24796356 71662447 143324894 214987341 286649788 429974682 859949364 931611811 1863223622 2794835433 3726447244 5589670866 11179341732 12110953543 24221907086 36332860629 48443814172 72665721258 145331442516