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132041020400 = 24521811823771
BaseRepresentation
bin111101011111001000…
…0100001001111110000
3110121211011110211020222
41322332100201033300
54130410000123100
6140354145152212
712353046104102
oct1727620411760
9417734424228
10132041020400
1150aa8793a53
122171032b668
13c5b39b2003
1465685a1572
15367c12a485
hex1ebe4213f0

132041020400 has 60 divisors (see below), whose sum is σ = 318981370344. Its totient is φ = 52524576000.

The previous prime is 132041020381. The next prime is 132041020409. The reversal of 132041020400 is 4020140231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132041020409) 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, 839486 + ... + 984285.

Almost surely, 2132041020400 is an apocalyptic number.

132041020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132041020400 is an abundant number, since it is smaller than the sum of its proper divisors (186940349944).

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

132041020400 is a wasteful number, since it uses less digits than its factorization.

132041020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823970 (or 1823959 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 132041020400 its reverse (4020140231), we get a palindrome (136061160631).

The spelling of 132041020400 in words is "one hundred thirty-two billion, forty-one million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 72400 1823771 3647542 7295084 9118855 14590168 18237710 29180336 36475420 45594275 72950840 91188550 145901680 182377100 330102551 364754200 660205102 729508400 1320410204 1650512755 2640820408 3301025510 5281640816 6602051020 8252563775 13204102040 16505127550 26408204080 33010255100 66020510200 132041020400