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145115166480 = 24352812151767
BaseRepresentation
bin1000011100100110001…
…0011011011100010000
3111212120022210021000120
42013021202123130100
54334143440311410
6150355345350240
713325042364054
oct2071142333420
9455508707016
10145115166480
11565a7801459
122415a938380
13108b854471b
147048b0bc64
153b94d26570
hex21c989b710

145115166480 has 80 divisors (see below), whose sum is σ = 451458140544. Its totient is φ = 38559646720.

The previous prime is 145115166467. The next prime is 145115166481. The reversal of 145115166480 is 84661511541.

145115166480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (145115166481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008444 + ... + 1143323.

Almost surely, 2145115166480 is an apocalyptic number.

145115166480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145115166480 is an abundant number, since it is smaller than the sum of its proper divisors (306342974064).

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

145115166480 is a wasteful number, since it uses less digits than its factorization.

145115166480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152064 (or 2152058 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 145115166480 in words is "one hundred forty-five billion, one hundred fifteen million, one hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 11240 13488 16860 22480 33720 67440 2151767 4303534 6455301 8607068 10758835 12910602 17214136 21517670 25821204 32276505 34428272 43035340 51642408 64553010 86070680 103284816 129106020 172141360 258212040 516424080 604646527 1209293054 1813939581 2418586108 3023232635 3627879162 4837172216 6046465270 7255758324 9069697905 9674344432 12092930540 14511516648 18139395810 24185861080 29023033296 36278791620 48371722160 72557583240 145115166480