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31440172302 = 23371110770667
BaseRepresentation
bin11101010001111110…
…101111010100001110
310000011010020020101000
4131101332233110032
51003342141003202
622235440001130
72162055024630
oct352176572416
9100133206330
1031440172302
1112374180880
1261153001a6
132c7086a966
141743816a50
15c402a691c
hex751faf50e

31440172302 has 128 divisors (see below), whose sum is σ = 87922298880. Its totient is φ = 8089843680.

The previous prime is 31440172297. The next prime is 31440172303. The reversal of 31440172302 is 20327104413.

It is a happy number.

31440172302 is a `hidden beast` number, since 314 + 40 + 1 + 7 + 2 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31440172303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409573 + ... + 480239.

It is an arithmetic number, because the mean of its divisors is an integer number (686892960).

Almost surely, 231440172302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440172302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43961149440).

31440172302 is an abundant number, since it is smaller than the sum of its proper divisors (56482126578).

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

31440172302 is a wasteful number, since it uses less digits than its factorization.

31440172302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70803 (or 70797 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 31440172302 its reverse (20327104413), we get a palindrome (51767276715).

The spelling of 31440172302 in words is "thirty-one billion, four hundred forty million, one hundred seventy-two thousand, three hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 107 126 154 189 198 214 231 297 321 378 462 594 642 693 749 963 1177 1386 1498 1926 2079 2247 2354 2889 3531 4158 4494 5778 6741 7062 8239 10593 13482 16478 20223 21186 24717 31779 40446 49434 63558 70667 74151 141334 148302 212001 222453 424002 444906 494669 636003 777337 989338 1272006 1484007 1554674 1908009 2332011 2968014 3816018 4452021 4664022 5441359 6996033 7561369 8904042 10882718 13356063 13992066 15122738 16324077 20988099 22684107 26712126 32648154 41976198 45368214 48972231 52929583 68052321 83175059 97944462 105859166 136104642 146916693 158788749 166350118 204156963 249525177 293833386 317577498 408313926 476366247 499050354 582225413 748575531 952732494 1164450826 1429098741 1497151062 1746676239 2245726593 2858197482 3493352478 4491453186 5240028717 10480057434 15720086151 31440172302