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132113401040 = 2455331158821
BaseRepresentation
bin111101100001010010…
…0101000010011010000
3110122000012200010211102
41323002210220103100
54131032012313130
6140405252403532
712354615244265
oct1730244502320
9418005603742
10132113401040
1151035630665
12217306165a8
13c5c59a52aa
14657404326c
153683676645
hex1ec29284d0

132113401040 has 40 divisors (see below), whose sum is σ = 312959208168. Its totient is φ = 51848276480.

The previous prime is 132113401039. The next prime is 132113401073. The reversal of 132113401040 is 40104311231.

It can be written as a sum of positive squares in 4 ways, for example, as 24985492624 + 107127908416 = 158068^2 + 327304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15575171 + ... + 15583650.

Almost surely, 2132113401040 is an apocalyptic number.

132113401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113401040 is an abundant number, since it is smaller than the sum of its proper divisors (180845807128).

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

132113401040 is a wasteful number, since it uses less digits than its factorization.

132113401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31158887 (or 31158881 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132113401040 its reverse (40104311231), we get a palindrome (172217712271).

The spelling of 132113401040 in words is "one hundred thirty-two billion, one hundred thirteen million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 31158821 62317642 124635284 155794105 249270568 311588210 498541136 623176420 1246352840 1651417513 2492705680 3302835026 6605670052 8257087565 13211340104 16514175130 26422680208 33028350260 66056700520 132113401040