Search a number
-
+
132214662653400 = 23325273452590363
BaseRepresentation
bin11110000011111110100000…
…000000000110010111011000
3122100010121011011111210101100
4132003332200000012113120
5114312201112114402100
61145110324424351400
736564123410516265
oct3603764000062730
9570117134453340
10132214662653400
1139144a18269788
12129b4107015560
1358a0a34b0baa2
14249131c21c26c
151044317dc5400
hex783fa00065d8

132214662653400 has 72 divisors (see below), whose sum is σ = 444020908750380. Its totient is φ = 35257243373760.

The previous prime is 132214662653357. The next prime is 132214662653449. The reversal of 132214662653400 is 4356266412231.

132214662653400 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 46 + 6 + 265 + 340 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36726293382 + ... + 36726296981.

Almost surely, 2132214662653400 is an apocalyptic number.

132214662653400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214662653400 is an abundant number, since it is smaller than the sum of its proper divisors (311806246096980).

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

132214662653400 is a wasteful number, since it uses less digits than its factorization.

132214662653400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73452590385 (or 73452590373 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 132214662653400 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-two million, six hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 73452590363 146905180726 220357771089 293810361452 367262951815 440715542178 587620722904 661073313267 734525903630 881431084356 1101788855445 1322146626534 1469051807260 1762862168712 1836314759075 2203577710890 2644293253068 2938103614520 3305366566335 3672629518150 4407155421780 5288586506136 5508944277225 6610733132670 7345259036300 8814310843560 11017888554450 13221466265340 14690518072600 16526832831675 22035777108900 26442932530680 33053665663350 44071554217800 66107331326700 132214662653400