Search a number
-
+
10000014313032 = 2332314480293151
BaseRepresentation
bin1001000110000100111101…
…0011010000011001001000
31022101222210012011102121200
42101201033103100121020
52302320012131004112
633133535415504200
72051322451116252
oct221411723203110
938358705142550
1010000014313032
113205a8941a677
1211560a0688060
13576cc70ca283
14268008db6cd2
151251cb31dcdc
hex9184f4d0648

10000014313032 has 48 divisors (see below), whose sum is σ = 27957029268480. Its totient is φ = 3225811068000.

The previous prime is 10000014312989. The next prime is 10000014313049. The reversal of 10000014313032 is 23031341000001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10000014312996 and 10000014313014.

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 11 ways as a sum of consecutive naturals, for example, 2240144344 + ... + 2240148807.

It is an arithmetic number, because the mean of its divisors is an integer number (582438109760).

Almost surely, 210000014313032 is an apocalyptic number.

10000014313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000014313032 is an abundant number, since it is smaller than the sum of its proper divisors (17957014955448).

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

10000014313032 is a wasteful number, since it uses less digits than its factorization.

10000014313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480293194 (or 4480293187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10000014313032 its reverse (23031341000001), we get a palindrome (33031355313033).

The spelling of 10000014313032 in words is "ten trillion, fourteen million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4480293151 8960586302 13440879453 17921172604 26881758906 35842345208 40322638359 53763517812 80645276718 107527035624 138889087681 161290553436 277778175362 322581106872 416667263043 555556350724 833334526086 1111112701448 1250001789129 1666669052172 2500003578258 3333338104344 5000007156516 10000014313032