Search a number
-
+
136044311557000 = 23537114382150047
BaseRepresentation
bin11110111011101101001000…
…110111010011001110001000
3122211200201010222120011110211
4132323231020313103032020
5120312422222224311000
61201201521031250504
740440606602222530
oct3673551067231610
9584621128504424
10136044311557000
113a39108322a270
1213312370819a34
135abac010021a2
1425848190104c0
1510adc587d17ba
hex7bbb48dd3388

136044311557000 has 512 divisors, whose sum is σ = 406628965416960. Its totient is φ = 41366021760000.

The previous prime is 136044311556949. The next prime is 136044311557103. The reversal of 136044311557000 is 755113440631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2718305977 + ... + 2718356023.

It is an arithmetic number, because the mean of its divisors is an integer number (794197198080).

Almost surely, 2136044311557000 is an apocalyptic number.

136044311557000 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 136044311557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203314482708480).

136044311557000 is an abundant number, since it is smaller than the sum of its proper divisors (270584653859960).

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

136044311557000 is a wasteful number, since it uses less digits than its factorization.

136044311557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50950 (or 50936 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 136044311557000 its reverse (755113440631), we get a palindrome (136799424997631).

The spelling of 136044311557000 in words is "one hundred thirty-six trillion, forty-four billion, three hundred eleven million, five hundred fifty-seven thousand".