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31332004144 = 2472299714207
BaseRepresentation
bin11101001011100010…
…000111000100110000
32222212120200201112221
4131023202013010300
51003131443113034
622221013330424
72156302432600
oct351342070460
988776621487
1031332004144
1112319110501
1260a5036a14
132c5432732c
1417332dac00
15c35a3bbb4
hex74b887130

31332004144 has 120 divisors (see below), whose sum is σ = 73810275840. Its totient is φ = 12830404608.

The previous prime is 31332004133. The next prime is 31332004157. The reversal of 31332004144 is 44140023313.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2198289 + ... + 2212495.

It is an arithmetic number, because the mean of its divisors is an integer number (615085632).

Almost surely, 231332004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31332004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36905137920).

31332004144 is an abundant number, since it is smaller than the sum of its proper divisors (42478271696).

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

31332004144 is a wasteful number, since it uses less digits than its factorization.

31332004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 31332004144 its reverse (44140023313), we get a palindrome (75472027457).

The spelling of 31332004144 in words is "thirty-one billion, three hundred thirty-two million, four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 97 98 112 116 194 196 203 232 388 392 406 464 679 776 784 812 1358 1421 1552 1624 2716 2813 2842 3248 4753 5432 5626 5684 9506 10864 11252 11368 14207 19012 19691 22504 22736 28414 38024 39382 45008 56828 76048 78764 99449 113656 137837 157528 198898 227312 275674 315056 397796 412003 551348 696143 795592 824006 1102696 1378079 1392286 1591184 1648012 2205392 2756158 2784572 2884021 3296024 5512316 5569144 5768042 6592048 9646553 11024632 11138288 11536084 19293106 20188147 22049264 23072168 38586212 39964291 40376294 46144336 67525871 77172424 79928582 80752588 135051742 154344848 159857164 161505176 270103484 279750037 319714328 323010352 540206968 559500074 639428656 1080413936 1119000148 1958250259 2238000296 3916500518 4476000592 7833001036 15666002072 31332004144