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132104410400000 = 2855165130513
BaseRepresentation
bin11110000010010111110100…
…011101001000010100000000
3122022202001120111110000101202
4132002113310131020110000
5114303344313030300000
61144543532304120332
736553141304030213
oct3602276435102400
9568661514400352
10132104410400000
1139102190796995
12129968779060a8
13589351429091c
142489c5d73377a
151041513aa0dd5
hex7825f4748500

132104410400000 has 108 divisors (see below), whose sum is σ = 329594891506524. Its totient is φ = 52841763840000.

The previous prime is 132104410399937. The next prime is 132104410400003. The reversal of 132104410400000 is 4014401231.

It can be written as a sum of positive squares in 6 ways, for example, as 128068875829504 + 4035534570496 = 11316752^2 + 2008864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104410400003) 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 11 ways as a sum of consecutive naturals, for example, 81765257 + ... + 83365256.

Almost surely, 2132104410400000 is an apocalyptic number.

132104410400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132104410400000 is an abundant number, since it is smaller than the sum of its proper divisors (197490481106524).

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

132104410400000 is an frugal number, since it uses more digits than its factorization.

132104410400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165130554 (or 165130520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132104410400000 its reverse (4014401231), we get a palindrome (132108424801231).

The spelling of 132104410400000 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred ten million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 40000 50000 80000 100000 160000 200000 400000 800000 165130513 330261026 660522052 825652565 1321044104 1651305130 2642088208 3302610260 4128262825 5284176416 6605220520 8256525650 10568352832 13210441040 16513051300 20641314125 21136705664 26420882080 33026102600 41282628250 42273411328 52841764160 66052205200 82565256500 103206570625 105683528320 132104410400 165130513000 206413141250 211367056640 264208820800 330261026000 412826282500 516032853125 528417641600 660522052000 825652565000 1032065706250 1056835283200 1321044104000 1651305130000 2064131412500 2642088208000 3302610260000 4128262825000 5284176416000 6605220520000 8256525650000 13210441040000 16513051300000 26420882080000 33026102600000 66052205200000 132104410400000