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1014341133140 = 225372795349037
BaseRepresentation
bin11101100001010110111…
…00010110001101010100
310120222012011210110202022
432300223130112031110
5113104332312230030
62053552030432312
7133166214241556
oct16605334261524
93528164713668
101014341133140
113611a8142545
12144704962698
1374862477a3a
1437146d5d4d6
151b5ba7d0de5
hexec2b716354

1014341133140 has 48 divisors (see below), whose sum is σ = 2187809970192. Its totient is φ = 394748430336.

The previous prime is 1014341133133. The next prime is 1014341133161. The reversal of 1014341133140 is 413311434101.

1014341133140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 553229514436 + 461111618704 = 743794^2 + 679052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20660702 + ... + 20709738.

It is an arithmetic number, because the mean of its divisors is an integer number (45579374379).

Almost surely, 21014341133140 is an apocalyptic number.

1014341133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014341133140 is an abundant number, since it is smaller than the sum of its proper divisors (1173468837052).

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

1014341133140 is a wasteful number, since it uses less digits than its factorization.

1014341133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77036 (or 77034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1014341133140 its reverse (413311434101), we get a palindrome (1427652567241).

The spelling of 1014341133140 in words is "one trillion, fourteen billion, three hundred forty-one million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 27953 49037 55906 98074 111812 139765 196148 245185 279530 490370 559060 980740 1034261 1814369 2068522 3628738 4137044 5171305 7257476 9071845 10342610 18143690 20685220 36287380 1370731261 2741462522 5482925044 6853656305 13707312610 27414625220 50717056657 101434113314 202868226628 253585283285 507170566570 1014341133140