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10312214240 = 255534992437
BaseRepresentation
bin10011001101010011…
…11110011011100000
3222121200020202112202
421212221332123200
5132104411323430
64423134312332
7513355242356
oct114651763340
928550222482
1010312214240
114411a81209
121bb96586a8
13c845a3923
146db7d57d6
154054d0d45
hex266a7e6e0

10312214240 has 96 divisors (see below), whose sum is σ = 24882228000. Its totient is φ = 4037289984.

The previous prime is 10312214233. The next prime is 10312214267. The reversal of 10312214240 is 4241221301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230302 + ... + 4232738.

It is an arithmetic number, because the mean of its divisors is an integer number (259189875).

Almost surely, 210312214240 is an apocalyptic number.

10312214240 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 10312214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441114000).

10312214240 is an abundant number, since it is smaller than the sum of its proper divisors (14570013760).

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

10312214240 is a wasteful number, since it uses less digits than its factorization.

10312214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10312214240 its reverse (4241221301), we get a palindrome (14553435541).

The spelling of 10312214240 in words is "ten billion, three hundred twelve million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 499 530 848 998 1060 1696 1996 2120 2437 2495 3992 4240 4874 4990 7984 8480 9748 9980 12185 15968 19496 19960 24370 26447 38992 39920 48740 52894 77984 79840 97480 105788 129161 132235 194960 211576 258322 264470 389920 423152 516644 528940 645805 846304 1033288 1057880 1216063 1291610 2066576 2115760 2432126 2583220 4133152 4231520 4864252 5166440 6080315 9728504 10332880 12160630 19457008 20665760 24321260 38914016 48642520 64451339 97285040 128902678 194570080 257805356 322256695 515610712 644513390 1031221424 1289026780 2062442848 2578053560 5156107120 10312214240