Search a number
-
+
1490443271136 = 25329049571903
BaseRepresentation
bin10101101100000101010…
…101110111101111100000
312021111002112222000021200
4111230011111313233200
5143404411434134021
63100411123521200
7212452400526201
oct25540525675740
95244075860250
101490443271136
11525103409566
12200a36529200
13aa71850b161
14521d03335a8
1528b8339b126
hex15b05577be0

1490443271136 has 72 divisors (see below), whose sum is σ = 4238923852800. Its totient is φ = 496758652416.

The previous prime is 1490443271131. The next prime is 1490443271147. The reversal of 1490443271136 is 6311723440941.

It is a happy number.

1490443271136 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 443 + 2 + 71 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14904432711362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1490443271091 and 1490443271100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490443271131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2320161 + ... + 2892063.

It is an arithmetic number, because the mean of its divisors is an integer number (58873942400).

Almost surely, 21490443271136 is an apocalyptic number.

1490443271136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1490443271136 is an abundant number, since it is smaller than the sum of its proper divisors (2748480581664).

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

1490443271136 is a wasteful number, since it uses less digits than its factorization.

1490443271136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580968 (or 580957 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1490443271136 in words is "one trillion, four hundred ninety billion, four hundred forty-three million, two hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9049 18098 27147 36196 54294 72392 81441 108588 144784 162882 217176 289568 325764 434352 571903 651528 868704 1143806 1303056 1715709 2287612 2606112 3431418 4575224 5147127 6862836 9150448 10294254 13725672 18300896 20588508 27451344 41177016 54902688 82354032 164708064 5175150247 10350300494 15525450741 20700600988 31050901482 41401201976 46576352223 62101802964 82802403952 93152704446 124203605928 165604807904 186305408892 248407211856 372610817784 496814423712 745221635568 1490443271136