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131003401440 = 2535272923753
BaseRepresentation
bin111101000000001101…
…0010100010011100000
3110112010212000022122010
41322000122110103200
54121243332321230
6140103201312520
712315246352662
oct1720032242340
9415125008563
10131003401440
115061600651a
1221480935740
13c479a32cb2
1464aa860532
15361aeb79b0
hex1e806944e0

131003401440 has 48 divisors (see below), whose sum is σ = 412660716048. Its totient is φ = 34934240256.

The previous prime is 131003401381. The next prime is 131003401447. The reversal of 131003401440 is 44104300131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003401447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136461397 + ... + 136462356.

It is an arithmetic number, because the mean of its divisors is an integer number (8597098251).

Almost surely, 2131003401440 is an apocalyptic number.

131003401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003401440 is an abundant number, since it is smaller than the sum of its proper divisors (281657314608).

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

131003401440 is a wasteful number, since it uses less digits than its factorization.

131003401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272923771 (or 272923763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131003401440 its reverse (44104300131), we get a palindrome (175107701571).

The spelling of 131003401440 in words is "one hundred thirty-one billion, three million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 272923753 545847506 818771259 1091695012 1364618765 1637542518 2183390024 2729237530 3275085036 4093856295 4366780048 5458475060 6550170072 8187712590 8733560096 10916950120 13100340144 16375425180 21833900240 26200680288 32750850360 43667800480 65501700720 131003401440