Search a number
-
+
132104400320000 = 2954412826251
BaseRepresentation
bin11110000010010111110011…
…110110101011011000000000
3122022202001112210110220020102
4132002113303312223120000
5114303344302440220000
61144543531304101532
736553141122245363
oct3602276366533000
9568661483426212
10132104400320000
1139102186031709
12129968744648a8
135893512171824
142489c5c26c0da
151041512c5e3d5
hex7825f3dab600

132104400320000 has 100 divisors (see below), whose sum is σ = 329832900776676. Its totient is φ = 52841760000000.

The previous prime is 132104400319981. The next prime is 132104400320023. The reversal of 132104400320000 is 23004401231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1321044003200002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 206093126 + ... + 206733125.

Almost surely, 2132104400320000 is an apocalyptic number.

132104400320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132104400320000 is an abundant number, since it is smaller than the sum of its proper divisors (197728500456676).

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

132104400320000 is an frugal number, since it uses more digits than its factorization.

132104400320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412826289 (or 412826258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132104400320000 its reverse (23004401231), we get a palindrome (132127404721231).

The spelling of 132104400320000 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 412826251 825652502 1651305004 2064131255 3302610008 4128262510 6605220016 8256525020 10320656275 13210440032 16513050040 20641312550 26420880064 33026100080 41282625100 51603281375 52841760128 66052200160 82565250200 103206562750 105683520256 132104400320 165130500400 206413125500 211367040512 258016406875 264208800640 330261000800 412826251000 516032813750 528417601280 660522001600 825652502000 1032065627500 1056835202560 1321044003200 1651305004000 2064131255000 2642088006400 3302610008000 4128262510000 5284176012800 6605220016000 8256525020000 13210440032000 16513050040000 26420880064000 33026100080000 66052200160000 132104400320000