Search a number
-
+
31446552114 = 23229601100237
BaseRepresentation
bin11101010010010111…
…000100111000110010
310000011120020100211100
4131102113010320302
51003400304131424
622240224425230
72162163165645
oct352227047062
9100146210740
1031446552114
111237783904a
126117478216
132c71c927b3
1417445d7a5c
15c40b16dc9
hex7525c4e32

31446552114 has 48 divisors (see below), whose sum is σ = 70601632920. Its totient is φ = 10103788800.

The previous prime is 31446552089. The next prime is 31446552127. The reversal of 31446552114 is 41125564413.

31446552114 is a `hidden beast` number, since 31 + 4 + 465 + 52 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25736180625 + 5710371489 = 160425^2 + 75567^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263604 + ... + 363840.

Almost surely, 231446552114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31446552114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35300816460).

31446552114 is an abundant number, since it is smaller than the sum of its proper divisors (39155080806).

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

31446552114 is a wasteful number, since it uses less digits than its factorization.

31446552114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100875 (or 100872 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 31446552114 in words is "thirty-one billion, four hundred forty-six million, five hundred fifty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 601 1202 1803 3606 5409 10818 17429 34858 52287 100237 104574 156861 200474 300711 313722 601422 902133 1804266 2906873 5813746 8720619 17441238 26161857 52323714 60242437 120484874 180727311 361454622 542181933 1084363866 1747030673 3494061346 5241092019 10482184038 15723276057 31446552114