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1434161541120 = 212357211231127
BaseRepresentation
bin10100110111101010101…
…100000111000000000000
312002002211011221220001120
4110313222230013000000
5141444130323303440
63014502243032240
7205420600650600
oct24675254070000
95062734856046
101434161541120
1150325188a800
121b1b4996b680
13a5319200729
144d5b1618c00
152748c2bcdd0
hex14deab07000

1434161541120 has 1872 divisors, whose sum is σ = 6104282333184. Its totient is φ = 286123622400.

The previous prime is 1434161541023. The next prime is 1434161541133. The reversal of 1434161541120 is 211451614341.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11292610497 + ... + 11292610623.

Almost surely, 21434161541120 is an apocalyptic number.

1434161541120 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 1434161541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052141166592).

1434161541120 is an abundant number, since it is smaller than the sum of its proper divisors (4670120792064).

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

1434161541120 is a wasteful number, since it uses less digits than its factorization.

1434161541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 1434161541120 in words is "one trillion, four hundred thirty-four billion, one hundred sixty-one million, five hundred forty-one thousand, one hundred twenty".