Search a number
-
+
132202131141400 = 23521795736810751
BaseRepresentation
bin11110000011110010110101…
…000100001011001100011000
3122100002101210211021000122021
4132003302311010023030120
5114311444431033011100
61145100453130504224
736563201023442005
oct3603626504131430
9570071724230567
10132202131141400
113913a6775882a1
12129b17aa295074
13589c7b880ac28
14249088dba48ac
151043d32b64a1a
hex783cb510b318

132202131141400 has 48 divisors (see below), whose sum is σ = 307387080253440. Its totient is φ = 52877906160000.

The previous prime is 132202131141359. The next prime is 132202131141419. The reversal of 132202131141400 is 4141131202231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14813976 + ... + 21996775.

It is an arithmetic number, because the mean of its divisors is an integer number (6403897505280).

Almost surely, 2132202131141400 is an apocalyptic number.

132202131141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132202131141400 is an abundant number, since it is smaller than the sum of its proper divisors (175184949112040).

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

132202131141400 is a wasteful number, since it uses less digits than its factorization.

132202131141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36828724 (or 36828715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132202131141400 its reverse (4141131202231), we get a palindrome (136343262343631).

The spelling of 132202131141400 in words is "one hundred thirty-two trillion, two hundred two billion, one hundred thirty-one million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 17957 35914 71828 89785 143656 179570 359140 448925 718280 897850 1795700 3591400 36810751 73621502 147243004 184053755 294486008 368107510 736215020 920268775 1472430040 1840537550 3681075100 7362150200 661010655707 1322021311414 2644042622828 3305053278535 5288085245656 6610106557070 13220213114140 16525266392675 26440426228280 33050532785350 66101065570700 132202131141400