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450142345450120 = 235337162172059157
BaseRepresentation
bin110011001011001101110111…
…0100110010101001010001000
32012000211012002000111110201211
41212112123232212111022020
5433000113010413400440
64233212312205222504
7163546465644621661
oct14626335646251210
92160735060443654
10450142345450120
1112047a329902254
12425a0728861a34
131642331972c30b
147d23011b80368
15370937e85ceea
hex19966ee995288

450142345450120 has 64 divisors (see below), whose sum is σ = 1015888811586480. Its totient is φ = 179511487389696.

The previous prime is 450142345450073. The next prime is 450142345450121. The reversal of 450142345450120 is 21054543241054.

It can be written as a sum of positive squares in 8 ways, for example, as 78431888767684 + 371710456682436 = 8856178^2 + 19279794^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (450142345450121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217575582 + ... + 219634738.

Almost surely, 2450142345450120 is an apocalyptic number.

450142345450120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450142345450120 is an abundant number, since it is smaller than the sum of its proper divisors (565746466136360).

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

450142345450120 is a wasteful number, since it uses less digits than its factorization.

450142345450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075722 (or 2075718 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 450142345450120 its reverse (21054543241054), we get a palindrome (471196888691174).

The spelling of 450142345450120 in words is "four hundred fifty trillion, one hundred forty-two billion, three hundred forty-five million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 16217 32434 64868 81085 129736 162170 324340 648680 2059157 4118314 5465129 8236628 10295785 10930258 16473256 20591570 21860516 27325645 41183140 43721032 54651290 82366280 109302580 218605160 693935909 1387871818 2775743636 3469679545 5551487272 6939359090 13878718180 27757436360 33393349069 66786698138 133573396276 166966745345 267146792552 333933490690 667866981380 1335733962760 11253558636253 22507117272506 45014234545012 56267793181265 90028469090024 112535586362530 225071172725060 450142345450120