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10325410144 = 257212015483
BaseRepresentation
bin10011001110111000…
…10100000101100000
3222122121002011220221
421213130110011200
5132121301111034
64424325212424
7513605352400
oct114734240540
928577064827
1010325410144
114419474515
122001b61114
13c8724405a
146dd46c800
1540673abb4
hex267714160

10325410144 has 72 divisors (see below), whose sum is σ = 23671038888. Its totient is φ = 4420684800.

The previous prime is 10325410129. The next prime is 10325410163. The reversal of 10325410144 is 44101452301.

It is a super-2 number, since 2×103254101442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1880427 + ... + 1885909.

It is an arithmetic number, because the mean of its divisors is an integer number (328764429).

Almost surely, 210325410144 is an apocalyptic number.

10325410144 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 10325410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835519444).

10325410144 is an abundant number, since it is smaller than the sum of its proper divisors (13345628744).

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

10325410144 is a wasteful number, since it uses less digits than its factorization.

10325410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10325410144 its reverse (44101452301), we get a palindrome (54426862445).

The spelling of 10325410144 in words is "ten billion, three hundred twenty-five million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1201 1568 2402 4804 5483 8407 9608 10966 16814 19216 21932 33628 38381 38432 43864 58849 67256 76762 87728 117698 134512 153524 175456 235396 268667 269024 307048 470792 537334 614096 941584 1074668 1228192 1883168 2149336 4298672 6585083 8597344 13170166 26340332 46095581 52680664 92191162 105361328 184382324 210722656 322669067 368764648 645338134 737529296 1290676268 1475058592 2581352536 5162705072 10325410144