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530102845440 = 2153357171953
BaseRepresentation
bin1111011011011001001…
…01111000000000000000
31212200021210000201001000
413231230211320000000
532141122312023230
61043305331412000
753204304561210
oct7555445700000
91780253021030
10530102845440
111948a7266863
12868a2454000
133acb091185c
141b92b1a0240
15dbc87c4b60
hex7b6c978000

530102845440 has 2048 divisors, whose sum is σ = 2446080768000. Its totient is φ = 105998450688.

The previous prime is 530102845439. The next prime is 530102845487. The reversal of 530102845440 is 44548201035.

It is a happy number.

530102845440 is a `hidden beast` number, since 5 + 3 + 0 + 102 + 8 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 530102845395 and 530102845404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10001940454 + ... + 10001940506.

It is an arithmetic number, because the mean of its divisors is an integer number (1194375375).

Almost surely, 2530102845440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530102845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040384000).

530102845440 is an abundant number, since it is smaller than the sum of its proper divisors (1915977922560).

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

530102845440 is a wasteful number, since it uses less digits than its factorization.

530102845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 530102845440 in words is "five hundred thirty billion, one hundred two million, eight hundred forty-five thousand, four hundred forty".