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145200324540 = 223512277197117
BaseRepresentation
bin1000011100111010011…
…1010001111110111100
3111212210021000201220210
42013032213101332330
54334332240341130
6150412030512420
713330125252225
oct2071647217674
9455707021823
10145200324540
1156640885a17
1224183365710
131090008c7cb
14705615824c
153b9c5485b0
hex21ce9d1fbc

145200324540 has 48 divisors (see below), whose sum is σ = 406596087072. Its totient is φ = 38716736256.

The previous prime is 145200324539. The next prime is 145200324551. The reversal of 145200324540 is 45423002541.

145200324540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145200324498 and 145200324507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638062 + ... + 835178.

It is an arithmetic number, because the mean of its divisors is an integer number (8470751814).

Almost surely, 2145200324540 is an apocalyptic number.

145200324540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145200324540 is an abundant number, since it is smaller than the sum of its proper divisors (261395762532).

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

145200324540 is a wasteful number, since it uses less digits than its factorization.

145200324540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209406 (or 209404 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 145200324540 in words is "one hundred forty-five billion, two hundred million, three hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12277 24554 36831 49108 61385 73662 122770 147324 184155 197117 245540 368310 394234 591351 736620 788468 985585 1182702 1971170 2365404 2956755 3942340 5913510 11827020 2420005409 4840010818 7260016227 9680021636 12100027045 14520032454 24200054090 29040064908 36300081135 48400108180 72600162270 145200324540