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145405515552 = 25311137694617
BaseRepresentation
bin1000011101101011011…
…0000001011100100000
3111220022120010112001220
42013122312001130200
54340242302444202
6150444240455040
713335166326603
oct2073266013440
9456276115056
10145405515552
1156736693a70
122422001a480
13109337437cb
1470754cc33a
153bb057aabc
hex21dad81720

145405515552 has 48 divisors (see below), whose sum is σ = 416388524832. Its totient is φ = 44062277120.

The previous prime is 145405515547. The next prime is 145405515553. The reversal of 145405515552 is 255515504541.

It is a happy number.

145405515552 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 (48).

It is a super-2 number, since 2×1454055155522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145405515553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68846253 + ... + 68848364.

It is an arithmetic number, because the mean of its divisors is an integer number (8674760934).

Almost surely, 2145405515552 is an apocalyptic number.

145405515552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145405515552 is an abundant number, since it is smaller than the sum of its proper divisors (270983009280).

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

145405515552 is a wasteful number, since it uses less digits than its factorization.

145405515552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137694641 (or 137694633 counting only the distinct ones).

The product of its (nonzero) digits is 500000, while the sum is 42.

The spelling of 145405515552 in words is "one hundred forty-five billion, four hundred five million, five hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 137694617 275389234 413083851 550778468 826167702 1101556936 1514640787 1652335404 2203113872 3029281574 3304670808 4406227744 4543922361 6058563148 6609341616 9087844722 12117126296 13218683232 18175689444 24234252592 36351378888 48468505184 72702757776 145405515552