Search a number
-
+
151145155040000 = 2854111922310343
BaseRepresentation
bin100010010111011100111001…
…010001101001001100000000
3201211011100001201201021010012
4202113130321101221030000
5124302330234142240000
61253243043050524052
743556606562040022
oct4227347121511400
9654140051637105
10151145155040000
1144183333746130
1214b50b3a736628
136644c086ca264
142947670990012
151271974246735
hex897739469300

151145155040000 has 1080 divisors, whose sum is σ = 452978833773312. Its totient is φ = 49800453120000.

The previous prime is 151145155039993. The next prime is 151145155040119. The reversal of 151145155040000 is 40551541151.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14613274829 + ... + 14613285171.

Almost surely, 2151145155040000 is an apocalyptic number.

151145155040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151145155040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226489416886656).

151145155040000 is an abundant number, since it is smaller than the sum of its proper divisors (301833678733312).

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

151145155040000 is a wasteful number, since it uses less digits than its factorization.

151145155040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 32.

The spelling of 151145155040000 in words is "one hundred fifty-one trillion, one hundred forty-five billion, one hundred fifty-five million, forty thousand".