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31534530444 = 2233973119679
BaseRepresentation
bin11101010111100110…
…101011111110001100
310000101200210010102000
4131113212223332030
51004040314433234
622253050232300
72164312041354
oct352746537614
9100350703360
1031534530444
111241246950a
126140a25690
132c87287491
141752179b64
15c486e4899
hex7579abf8c

31534530444 has 96 divisors (see below), whose sum is σ = 82873190400. Its totient is φ = 10368622080.

The previous prime is 31534530407. The next prime is 31534530457. The reversal of 31534530444 is 44403543513.

31534530444 is a `hidden beast` number, since 3 + 1 + 5 + 345 + 304 + 4 + 4 = 666.

It is a super-2 number, since 2×315345304442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31534530399 and 31534530408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3253197 + ... + 3262875.

It is an arithmetic number, because the mean of its divisors is an integer number (863262400).

Almost surely, 231534530444 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 31534530444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41436595200).

31534530444 is an abundant number, since it is smaller than the sum of its proper divisors (51338659956).

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

31534530444 is a wasteful number, since it uses less digits than its factorization.

31534530444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 31534530444 in words is "thirty-one billion, five hundred thirty-four million, five hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 311 388 582 622 873 933 1164 1244 1746 1866 2619 2799 3492 3732 5238 5598 8397 9679 10476 11196 16794 19358 29037 30167 33588 38716 58074 60334 87111 90501 116148 120668 174222 181002 261333 271503 348444 362004 522666 543006 814509 938863 1045332 1086012 1629018 1877726 2816589 3010169 3258036 3755452 5633178 6020338 8449767 9030507 11266356 12040676 16899534 18061014 25349301 27091521 33799068 36122028 50698602 54183042 81274563 101397204 108366084 162549126 291986393 325098252 583972786 875959179 1167945572 1751918358 2627877537 3503836716 5255755074 7883632611 10511510148 15767265222 31534530444