Search a number
-
+
7342107049032 = 23372311131782269
BaseRepresentation
bin110101011010111011110…
…1011101011110001001000
3221222220021001201201111220
41222311313223223301020
51430243113401032112
623340530054522040
71355310154126500
oct152656753536110
927886231651456
107342107049032
112380852025818
129a6b48966320
13413485bc4c62
141b5507708a00
15caeb985098c
hex6ad77aebc48

7342107049032 has 192 divisors, whose sum is σ = 22235885683200. Its totient is φ = 2012109281280.

The previous prime is 7342107049009. The next prime is 7342107049051. The reversal of 7342107049032 is 2309407012437.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228394 + ... + 5010662.

It is an arithmetic number, because the mean of its divisors is an integer number (115811904600).

Almost surely, 27342107049032 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 7342107049032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117942841600).

7342107049032 is an abundant number, since it is smaller than the sum of its proper divisors (14893778634168).

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

7342107049032 is a wasteful number, since it uses less digits than its factorization.

7342107049032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782436 (or 1782425 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 7342107049032 in words is "seven trillion, three hundred forty-two billion, one hundred seven million, forty-nine thousand, thirty-two".