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10315120144 = 2472107122963
BaseRepresentation
bin10011001101101010…
…00011111000010000
3222121212201101200211
421212311003320100
5132111132321034
64423320453504
7513422034400
oct114665037020
928555641624
1010315120144
11441368648a
121bba61a294
13c850804b4
146dbd50800
154058a6d64
hex266d43e10

10315120144 has 60 divisors (see below), whose sum is σ = 23465957904. Its totient is φ = 4379414592.

The previous prime is 10315120103. The next prime is 10315120181. The reversal of 10315120144 is 44102151301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22407 + ... + 145369.

Almost surely, 210315120144 is an apocalyptic number.

10315120144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732978952).

10315120144 is an abundant number, since it is smaller than the sum of its proper divisors (13150837760).

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

10315120144 is a wasteful number, since it uses less digits than its factorization.

10315120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123092 (or 123079 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10315120144 its reverse (44102151301), we get a palindrome (54417271445).

The spelling of 10315120144 in words is "ten billion, three hundred fifteen million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 196 214 392 428 749 784 856 1498 1712 2996 5243 5992 10486 11984 20972 41944 83888 122963 245926 491852 860741 983704 1721482 1967408 3442964 6025187 6885928 12050374 13157041 13771856 24100748 26314082 48201496 52628164 92099287 96402992 105256328 184198574 210512656 368397148 644695009 736794296 1289390018 1473588592 2578780036 5157560072 10315120144