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1144105231530 = 23538136841051
BaseRepresentation
bin10000101001100001111…
…111000110010010101010
311001101010122211200012110
4100221201333012102222
5122221111414402110
62233332241423150
7145441665003252
oct20514177062252
94041118750173
101144105231530
11401237638268
1216589a63aab6
1383b72505001
143d536d7c962
151eb62a97a20
hex10a61fc64aa

1144105231530 has 16 divisors (see below), whose sum is σ = 2745852555744. Its totient is φ = 305094728400.

The previous prime is 1144105231517. The next prime is 1144105231531. The reversal of 1144105231530 is 351325014411.

It is a super-5 number, since 5×11441052315305 (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 38136841051 = 1144105231530 / (1 + 1 + 4 + 4 + 1 + 0 + 5 + 2 + 3 + 1 + 5 + 3 + 0).

It is not an unprimeable number, because it can be changed into a prime (1144105231531) 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 7 ways as a sum of consecutive naturals, for example, 19068420496 + ... + 19068420555.

It is an arithmetic number, because the mean of its divisors is an integer number (171615784734).

Almost surely, 21144105231530 is an apocalyptic number.

1144105231530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144105231530 is an abundant number, since it is smaller than the sum of its proper divisors (1601747324214).

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

1144105231530 is a wasteful number, since it uses less digits than its factorization.

1144105231530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38136841061.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1144105231530 in words is "one trillion, one hundred forty-four billion, one hundred five million, two hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 38136841051 76273682102 114410523153 190684205255 228821046306 381368410510 572052615765 1144105231530