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1454100480 = 2123257323
BaseRepresentation
bin101011010101011…
…1101000000000000
310202100010221212100
41112222331000000
510434222203410
6400142230400
751014436000
oct12652750000
93670127770
101454100480
11686890238
12346b85400
131a23413b1
14db196000
15879ce8c0
hex56abd000

1454100480 has 624 divisors, whose sum is σ = 6133420800. Its totient is φ = 317915136.

The previous prime is 1454100463. The next prime is 1454100497. The reversal of 1454100480 is 840014541.

It is a happy number.

1454100480 is a `hidden beast` number, since 145 + 41 + 0 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1454100463) and next prime (1454100497).

It is a super-2 number, since 2×14541004802 = 4228816411872460800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63221749 + ... + 63221771.

It is an arithmetic number, because the mean of its divisors is an integer number (9829200).

Almost surely, 21454100480 is an apocalyptic number.

1454100480 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 1454100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066710400).

1454100480 is an abundant number, since it is smaller than the sum of its proper divisors (4679320320).

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

1454100480 is an equidigital number, since it uses as much as digits as its factorization.

1454100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1454100480 is about 38132.6694580907. The cubic root of 1454100480 is about 1132.9171189834.

It can be divided in two parts, 145 and 4100480, that added together give a 4-th power (4100625 = 454).

The spelling of 1454100480 in words is "one billion, four hundred fifty-four million, one hundred thousand, four hundred eighty".