Search a number
-
+
71043051000078 = 23343102672979997
BaseRepresentation
bin10000001001110011111111…
…110100011001000100001110
3100022112122112101002121002000
4100021303333310121010032
533302432132024000303
6411032421014213130
720651456013606603
oct2011637764310416
9308478471077060
1071043051000078
1120700209223623
127b747520541a6
13308443c184991
14137870575a6aa
15832ed5a0dda3
hex409cffd1910e

71043051000078 has 64 divisors (see below), whose sum is σ = 161560710769920. Its totient is φ = 23128035035616.

The previous prime is 71043051000029. The next prime is 71043051000127. The reversal of 71043051000078 is 87000015034017.

71043051000078 is a `hidden beast` number, since 7 + 104 + 30 + 510 + 0 + 0 + 0 + 7 + 8 = 666.

71043051000078 is a nontrivial binomial coefficient, being equal to C(11919988, 2).

It is an interprime number because it is at equal distance from previous prime (71043051000029) and next prime (71043051000127).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22349976 + ... + 25329972.

It is an arithmetic number, because the mean of its divisors is an integer number (2524386105780).

Almost surely, 271043051000078 is an apocalyptic number.

71043051000078 is the 11919987-th triangular number and also the 5959994-th hexagonal number.

71043051000078 is an abundant number, since it is smaller than the sum of its proper divisors (90517659769842).

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

71043051000078 is a wasteful number, since it uses less digits than its factorization.

71043051000078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990318 (or 2990312 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 71043051000078 in words is "seventy-one trillion, forty-three billion, fifty-one million, seventy-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 10267 20534 30801 61602 92403 184806 277209 441481 554418 882962 1324443 2648886 2979997 3973329 5959994 7946658 8939991 11919987 17879982 23839974 26819973 53639946 80459919 128139871 160919838 256279742 384419613 768839226 1153258839 2306517678 3459776517 6919553034 30595629199 61191258398 91786887597 183573775194 275360662791 550721325582 826081988373 1315612055557 1652163976746 2631224111114 3946836166671 7893672333342 11840508500013 23681017000026 35521525500039 71043051000078