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9144038790 = 2325727139753
BaseRepresentation
bin10001000010000011…
…01111010110000110
3212121021010022002100
420201001233112012
5122211333220130
64111204252530
7442412022135
oct104101572606
925537108070
109144038790
113972631757
1219323a1146
13b29572a53
1462a5cb91c
15387b7ec60
hex22106f586

9144038790 has 48 divisors (see below), whose sum is σ = 23807373408. Its totient is φ = 2435038848.

The previous prime is 9144038789. The next prime is 9144038791. The reversal of 9144038790 is 978304419.

9144038790 is a `hidden beast` number, since 91 + 440 + 38 + 7 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (9144038789) and next prime (9144038791).

It is a super-2 number, since 2×91440387902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9144038791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4447 + ... + 135306.

It is an arithmetic number, because the mean of its divisors is an integer number (495986946).

Almost surely, 29144038790 is an apocalyptic number.

9144038790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9144038790 is an abundant number, since it is smaller than the sum of its proper divisors (14663334618).

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

9144038790 is a wasteful number, since it uses less digits than its factorization.

9144038790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140493 (or 140490 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9144038790 is about 95624.4675279293. The cubic root of 9144038790 is about 2091.1219139211.

The spelling of 9144038790 in words is "nine billion, one hundred forty-four million, thirty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 727 1454 2181 3635 4362 6543 7270 10905 13086 21810 32715 65430 139753 279506 419259 698765 838518 1257777 1397530 2096295 2515554 4192590 6288885 12577770 101600431 203200862 304801293 508002155 609602586 914403879 1016004310 1524006465 1828807758 3048012930 4572019395 9144038790