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1144400131323 = 3537251507103
BaseRepresentation
bin10000101001110011100…
…100000011010011111011
311001101220012202010200000
4100221303210003103323
5122222212413200243
62233421414244043
7145452205421361
oct20516344032373
94041805663600
101144400131323
114013790488a9
12165961356623
1383bbb638527
143d5641c5631
151eb7d8ea5d3
hex10a739034fb

1144400131323 has 48 divisors (see below), whose sum is σ = 1767594157056. Its totient is φ = 739354716000.

The previous prime is 1144400131309. The next prime is 1144400131333. The reversal of 1144400131323 is 3231310044411.

1144400131323 is a `hidden beast` number, since 114 + 4 + 400 + 13 + 132 + 3 = 666.

It is not a de Polignac number, because 1144400131323 - 220 = 1144399082747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1144400131333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003190 + ... + 2510292.

It is an arithmetic number, because the mean of its divisors is an integer number (36824878272).

Almost surely, 21144400131323 is an apocalyptic number.

1144400131323 is a deficient number, since it is larger than the sum of its proper divisors (623194025733).

1144400131323 is an equidigital number, since it uses as much as digits as its factorization.

1144400131323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507406 (or 507394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1144400131323 its reverse (3231310044411), we get a palindrome (4375710175734).

The spelling of 1144400131323 in words is "one trillion, one hundred forty-four billion, four hundred million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 27 37 81 111 243 251 333 753 999 2259 2997 6777 8991 9287 20331 27861 60993 83583 250749 507103 752247 1521309 2256741 4563927 13691781 18762811 41075343 56288433 123226029 127282853 168865299 381848559 506595897 1145545677 1519787691 3436637031 4559363073 4709465561 10309911093 14128396683 30929733279 42385190049 127155570147 381466710441 1144400131323