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145650706740 = 2233571110333391
BaseRepresentation
bin1000011110100101110…
…1010110100100110100
3111220221122111112011000
42013221131112210310
54341243040103430
6150524440043300
713344234402660
oct2075135264464
9456848445130
10145650706740
1156852032810
122428a163530
1310972491456
147099cb58a0
153bc6d5ee60
hex21e9756934

145650706740 has 384 divisors, whose sum is σ = 565661859840. Its totient is φ = 30226867200.

The previous prime is 145650706717. The next prime is 145650706759. The reversal of 145650706740 is 47607056541.

145650706740 is a `hidden beast` number, since 1 + 45 + 6 + 507 + 0 + 67 + 40 = 666.

145650706740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1456507067402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42950445 + ... + 42953835.

It is an arithmetic number, because the mean of its divisors is an integer number (1473077760).

Almost surely, 2145650706740 is an apocalyptic number.

145650706740 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 145650706740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282830929920).

145650706740 is an abundant number, since it is smaller than the sum of its proper divisors (420011153100).

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

145650706740 is a wasteful number, since it uses less digits than its factorization.

145650706740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 145650706740 in words is "one hundred forty-five billion, six hundred fifty million, seven hundred six thousand, seven hundred forty".