Search a number
-
+
3142002460096 = 26377118688157
BaseRepresentation
bin101101101110001101111…
…100001100010111000000
3102010101001112221200001001
4231232031330030113000
5402434310112210341
610403225505021344
7443000515152343
oct55561574142700
912111045850031
103142002460096
111001574527815
12428b36324854
1319a39c21ac16
14ac10646045a
1556ae6161d31
hex2db8df0c5c0

3142002460096 has 56 divisors (see below), whose sum is σ = 6493611636576. Its totient is φ = 1507012899840.

The previous prime is 3142002460049. The next prime is 3142002460123. The reversal of 3142002460096 is 6900642002413.

It is a happy number.

3142002460096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9175951 + ... + 9512206.

Almost surely, 23142002460096 is an apocalyptic number.

It is an amenable number.

3142002460096 is an abundant number, since it is smaller than the sum of its proper divisors (3351609176480).

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

3142002460096 is a wasteful number, since it uses less digits than its factorization.

3142002460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18688277 (or 18688267 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 3142002460096 in words is "three trillion, one hundred forty-two billion, two million, four hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 71 74 142 148 284 296 568 592 1136 1184 2272 2368 2627 4544 5254 10508 21016 42032 84064 168128 18688157 37376314 74752628 149505256 299010512 598021024 691461809 1196042048 1326859147 1382923618 2653718294 2765847236 5307436588 5531694472 10614873176 11063388944 21229746352 22126777888 42459492704 44253555776 49093788439 84918985408 98187576878 196375153756 392750307512 785500615024 1571001230048 3142002460096