Search a number
-
+
31354136250 = 235431269713
BaseRepresentation
bin11101001100110110…
…100010011010111010
32222221010100011002120
4131030312202122322
51003203124330000
622223123542110
72156661521643
oct351466423272
988833304076
1031354136250
111232a6576a8
1260b052a936
132c58aa6058
14173621c6ca
15c3795e6a0
hex74cda26ba

31354136250 has 80 divisors (see below), whose sum is σ = 80888307456. Its totient is φ = 8091360000.

The previous prime is 31354136249. The next prime is 31354136267. The reversal of 31354136250 is 5263145313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18607 + ... + 251106.

Almost surely, 231354136250 is an apocalyptic number.

31354136250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31354136250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40444153728).

31354136250 is an abundant number, since it is smaller than the sum of its proper divisors (49534171206).

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

31354136250 is a wasteful number, since it uses less digits than its factorization.

31354136250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269769 (or 269754 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 31354136250 in words is "thirty-one billion, three hundred fifty-four million, one hundred thirty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 625 750 775 930 1250 1550 1875 2325 3750 3875 4650 7750 11625 19375 23250 38750 58125 116250 269713 539426 809139 1348565 1618278 2697130 4045695 6742825 8091390 8361103 13485650 16722206 20228475 25083309 33714125 40456950 41805515 50166618 67428250 83611030 101142375 125416545 168570625 202284750 209027575 250833090 337141250 418055150 505711875 627082725 1011423750 1045137875 1254165450 2090275750 3135413625 5225689375 6270827250 10451378750 15677068125 31354136250