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1412132050560 = 2735721129211223
BaseRepresentation
bin10100100011001001101…
…000010001011010000000
311222222221220120211010210
4110203021220101122000
5141114021301104220
63000420254354120
7204010643244600
oct24431150213200
94888856524123
101412132050560
114a4977801460
121a98201bb940
13a321822460a
144c4c199cc00
1526aed2b66e0
hex148c9a11680

1412132050560 has 1536 divisors, whose sum is σ = 5963657011200. Its totient is φ = 280704614400.

The previous prime is 1412132050543. The next prime is 1412132050579. The reversal of 1412132050560 is 650502312141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6332430609 + ... + 6332430831.

It is an arithmetic number, because the mean of its divisors is an integer number (3882589200).

Almost surely, 21412132050560 is an apocalyptic number.

1412132050560 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 1412132050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981828505600).

1412132050560 is an abundant number, since it is smaller than the sum of its proper divisors (4551524960640).

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

1412132050560 is a wasteful number, since it uses less digits than its factorization.

1412132050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1412132050560 in words is "one trillion, four hundred twelve billion, one hundred thirty-two million, fifty thousand, five hundred sixty".