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145334613346560 = 28345113137241461
BaseRepresentation
bin100001000010111001011010…
…000000001000100100000000
3201001120212001002101212220000
4201002321122000020210000
5123022130242004042220
61233033444420520000
742420036126413451
oct4102713200104400
9631525032355800
10145334613346560
1142343077406640
12143729a3b50000
136312cc26a9801
1427c6338bd3128
1511c0748023390
hex842e5a008900

145334613346560 has 2880 divisors, whose sum is σ = 605242871912448. Its totient is φ = 32965263360000.

The previous prime is 145334613346547. The next prime is 145334613346579. The reversal of 145334613346560 is 65643316433541.

145334613346560 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 3 + 4 + 6 + 1 + 33 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1453346133465602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 145334613346497 and 145334613346506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 315259464730 + ... + 315259465190.

Almost surely, 2145334613346560 is an apocalyptic number.

145334613346560 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 145334613346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302621435956224).

145334613346560 is an abundant number, since it is smaller than the sum of its proper divisors (459908258565888).

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

145334613346560 is a wasteful number, since it uses less digits than its factorization.

145334613346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 145334613346560 in words is "one hundred forty-five trillion, three hundred thirty-four billion, six hundred thirteen million, three hundred forty-six thousand, five hundred sixty".