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145025644416 = 2731272973787
BaseRepresentation
bin1000011100010000110…
…0111011011110000000
3111212100002100001211120
42013010030323132000
54334003031110131
6150342430512240
713322604431562
oct2070414733600
9455302301746
10145025644416
1156561217184
1224134965680
13108a2b2c1a3
14703ac87332
153b8c041496
hex21c433b780

145025644416 has 64 divisors (see below), whose sum is σ = 388257761280. Its totient is φ = 47961220608.

The previous prime is 145025644409. The next prime is 145025644493. The reversal of 145025644416 is 614446520541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1438126 + ... + 1535661.

It is an arithmetic number, because the mean of its divisors is an integer number (6066527520).

Almost surely, 2145025644416 is an apocalyptic number.

145025644416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145025644416 is an abundant number, since it is smaller than the sum of its proper divisors (243232116864).

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

145025644416 is a wasteful number, since it uses less digits than its factorization.

145025644416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973931 (or 2973919 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 145025644416 in words is "one hundred forty-five billion, twenty-five million, six hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 2973787 5947574 8921361 11895148 17842722 23790296 35685444 47580592 71370888 95161184 142741776 190322368 285483552 377670949 380644736 570967104 755341898 1133012847 1141934208 1510683796 2266025694 3021367592 4532051388 6042735184 9064102776 12085470368 18128205552 24170940736 36256411104 48341881472 72512822208 145025644416