Search a number
-
+
145202747910 = 2351121931113601
BaseRepresentation
bin1000011100111011000…
…0100001101000000110
3111212210102120212011020
42013032300201220012
54334333400413120
6150412154452010
713330154664363
oct2071660415006
9455712525136
10145202747910
1156642190700
1224184134006
131090072a85c
1470565c946a
153b9c876640
hex21cec21a06

145202747910 has 384 divisors, whose sum is σ = 420596305920. Its totient is φ = 31933440000.

The previous prime is 145202747863. The next prime is 145202747939. The reversal of 145202747910 is 19747202541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241601610 + ... + 241602210.

It is an arithmetic number, because the mean of its divisors is an integer number (1095302880).

Almost surely, 2145202747910 is an apocalyptic number.

145202747910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145202747910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210298152960).

145202747910 is an abundant number, since it is smaller than the sum of its proper divisors (275393558010).

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

145202747910 is a wasteful number, since it uses less digits than its factorization.

145202747910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 145202747910 in words is "one hundred forty-five billion, two hundred two million, seven hundred forty-seven thousand, nine hundred ten".