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1430869058048 = 29192337307563
BaseRepresentation
bin10100110100100110011…
…100010010001000000000
312001210022201120102101002
4110310212130102020000
5141420404434324143
63013155425431132
7205243161213563
oct24644634221000
95053281512332
101430869058048
1150191230a511
121b138b19b4a8
13a4c130509b1
144d37c2384da
15273482025b8
hex14d26712200

1430869058048 has 320 divisors, whose sum is σ = 3241382538240. Its totient is φ = 627618004992.

The previous prime is 1430869058039. The next prime is 1430869058081. The reversal of 1430869058048 is 8408509680341.

It is a happy number.

It is a super-2 number, since 2×14308690580482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1430869057984 and 1430869058002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541507815 + ... + 2541508377.

It is an arithmetic number, because the mean of its divisors is an integer number (10129320432).

Almost surely, 21430869058048 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 1430869058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620691269120).

1430869058048 is an abundant number, since it is smaller than the sum of its proper divisors (1810513480192).

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

1430869058048 is a wasteful number, since it uses less digits than its factorization.

1430869058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 1430869058048 in words is "one trillion, four hundred thirty billion, eight hundred sixty-nine million, fifty-eight thousand, forty-eight".