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10140332303070 = 23251371734753823
BaseRepresentation
bin1001001110001111101011…
…1001111010001011011110
31022220101222012012212200200
42103203322321322023132
52312114400032144240
633322223201204330
72064420613263234
oct223437271721336
938811865185620
1010140332303070
11325a5442553a2
1211793209306a6
135872c9818648
14270b1a93c954
15128b8ee04930
hex938fae7a2de

10140332303070 has 96 divisors (see below), whose sum is σ = 26710824321792. Its totient is φ = 2668833701376.

The previous prime is 10140332303069. The next prime is 10140332303083. The reversal of 10140332303070 is 7030323304101.

10140332303070 is a `hidden beast` number, since 10 + 14 + 0 + 332 + 3 + 0 + 307 + 0 = 666.

It is a super-3 number, since 3×101403323030703 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243822 + ... + 4510001.

It is an arithmetic number, because the mean of its divisors is an integer number (278237753352).

Almost surely, 210140332303070 is an apocalyptic number.

10140332303070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140332303070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355412160896).

10140332303070 is an abundant number, since it is smaller than the sum of its proper divisors (16570492018722).

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

10140332303070 is a wasteful number, since it uses less digits than its factorization.

10140332303070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754146 (or 4754143 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 10140332303070 its reverse (7030323304101), we get a palindrome (17170655607171).

The spelling of 10140332303070 in words is "ten trillion, one hundred forty billion, three hundred thirty-two million, three hundred three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 173 274 346 411 519 685 822 865 1038 1233 1370 1557 1730 2055 2466 2595 3114 4110 5190 6165 7785 12330 15570 23701 47402 71103 118505 142206 213309 237010 355515 426618 711030 1066545 2133090 4753823 9507646 14261469 23769115 28522938 42784407 47538230 71307345 85568814 142614690 213922035 427844070 651273751 822411379 1302547502 1644822758 1953821253 2467234137 3256368755 3907642506 4112056895 4934468274 5861463759 6512737510 7401702411 8224113790 9769106265 11722927518 12336170685 14803404822 19538212530 24672341370 29307318795 37008512055 58614637590 74017024110 112670358923 225340717846 338011076769 563351794615 676022153538 1014033230307 1126703589230 1690055383845 2028066460614 3380110767690 5070166151535 10140332303070