Search a number
-
+
132214662653444 = 22723673064213003
BaseRepresentation
bin11110000011111110100000…
…000000000110011000000100
3122100010121011011111210102222
4132003332200000012120010
5114312201112114402234
61145110324424351512
736564123410516360
oct3603764000063004
9570117134453388
10132214662653444
1139144a18269818
12129b4107015598
1358a0a34b0bb07
14249131c21c2a0
151044317dc542e
hex783fa0006604

132214662653444 has 48 divisors (see below), whose sum is σ = 280044554861568. Its totient is φ = 53390847346848.

The previous prime is 132214662653357. The next prime is 132214662653449. The reversal of 132214662653444 is 444356266412231.

It is a super-2 number, since 2×1322146626534442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132214662653449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532063354 + ... + 1532149649.

It is an arithmetic number, because the mean of its divisors is an integer number (5834261559616).

Almost surely, 2132214662653444 is an apocalyptic number.

132214662653444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132214662653444 is an abundant number, since it is smaller than the sum of its proper divisors (147829892208124).

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

132214662653444 is a wasteful number, since it uses less digits than its factorization.

132214662653444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064213104 (or 3064213102 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 53.

The spelling of 132214662653444 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-two million, six hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 268 322 469 644 938 1541 1876 3082 6164 10787 21574 43148 3064213003 6128426006 12256852012 21449491021 42898982042 70476899069 85797964084 140953798138 205302271201 281907596276 410604542402 493338293483 821209084804 986676586966 1437115898407 1973353173932 2874231796814 4721952237623 5748463593628 9443904475246 18887808950492 33053665663361 66107331326722 132214662653444