Search a number
-
+
42514461696 = 210371726841
BaseRepresentation
bin100111100110000011…
…110011010000000000
311001201220110102111110
4213212003303100000
51144032200233241
631310400243320
73033355650630
oct474603632000
9131656412443
1042514461696
111703733a363
1282a6010540
134016ca6315
1420b45046c0
15118c61c816
hex9e60f3400

42514461696 has 264 divisors, whose sum is σ = 137590758976. Its totient is φ = 11430789120.

The previous prime is 42514461683. The next prime is 42514461763. The reversal of 42514461696 is 69616441524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6211236 + ... + 6218076.

Almost surely, 242514461696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42514461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68795379488).

42514461696 is an abundant number, since it is smaller than the sum of its proper divisors (95076297280).

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

42514461696 is a wasteful number, since it uses less digits than its factorization.

42514461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6870 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 42514461696 in words is "forty-two billion, five hundred fourteen million, four hundred sixty-one thousand, six hundred ninety-six".