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10140236321540 = 225131971119717681
BaseRepresentation
bin1001001110001111010100…
…1011110001001100000100
31022220101201111121111210012
42103203311023301030010
52312114200444242130
633322205452045352
72064415336405553
oct223436513611404
938811644544705
1010140236321540
11325a4a5059016
1211792b4763858
135872b2980c40
14270b0bcb5d9a
15128b86795995
hex938f52f1304

10140236321540 has 96 divisors (see below), whose sum is σ = 23052305463264. Its totient is φ = 3724538388480.

The previous prime is 10140236321531. The next prime is 10140236321591. The reversal of 10140236321540 is 4512363204101.

It can be written as a sum of positive squares in 16 ways, for example, as 3218464704064 + 6921771617476 = 1794008^2 + 2630926^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10140236321497 and 10140236321506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573501500 + ... + 573519180.

It is an arithmetic number, because the mean of its divisors is an integer number (240128181909).

Almost surely, 210140236321540 is an apocalyptic number.

10140236321540 is a gapful number since it is divisible by the number (10) 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 10140236321540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526152731632).

10140236321540 is an abundant number, since it is smaller than the sum of its proper divisors (12912069141724).

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

10140236321540 is a wasteful number, since it uses less digits than its factorization.

10140236321540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29097 (or 29095 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10140236321540 its reverse (4512363204101), we get a palindrome (14652599525641).

The spelling of 10140236321540 in words is "ten trillion, one hundred forty billion, two hundred thirty-six million, three hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 11197 12805 17681 22394 25610 35362 44788 51220 55985 70724 88405 111970 145561 176810 223940 229853 291122 353620 459706 582244 727805 919412 1149265 1455610 2205809 2298530 2911220 3483157 4411618 4597060 6966314 8823236 11029045 13932628 17415785 22058090 28675517 34831570 44116180 45281041 57351034 69663140 90562082 114702068 143377585 181124164 197974157 226405205 286755170 395948314 452810410 573510340 791896628 905620820 989870785 1979741570 2573664041 3959483140 5147328082 10294656164 12868320205 25736640410 39000908929 51473280820 78001817858 156003635716 195004544645 390009089290 507011816077 780018178580 1014023632154 2028047264308 2535059080385 5070118160770 10140236321540