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1453446302130 = 2325376764110163
BaseRepresentation
bin10101001001101000001…
…001101000100110110010
312010221121011122020212100
4111021220021220212302
5142303124223132010
63031412022241230
7210002516503614
oct25115011504662
95127534566770
101453446302130
11510448601119
121b5830286216
13a70a0661914
14504c091adb4
1527c1a3562c0
hex152682689b2

1453446302130 has 192 divisors, whose sum is σ = 3945554540928. Its totient is φ = 370865848320.

The previous prime is 1453446302107. The next prime is 1453446302137. The reversal of 1453446302130 is 312036443541.

1453446302130 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 4 + 630 + 2 + 13 + 0 = 666.

It is a super-2 number, since 2×14534463021302 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1453446302137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143008429 + ... + 143018591.

It is an arithmetic number, because the mean of its divisors is an integer number (20549763234).

Almost surely, 21453446302130 is an apocalyptic number.

1453446302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453446302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972777270464).

1453446302130 is an abundant number, since it is smaller than the sum of its proper divisors (2492108238798).

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

1453446302130 is a wasteful number, since it uses less digits than its factorization.

1453446302130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1453446302130 in words is "one trillion, four hundred fifty-three billion, four hundred forty-six million, three hundred two thousand, one hundred thirty".