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1921428144 = 243267199153
BaseRepresentation
bin111001010000110…
…1010101010110000
311221220111122220100
41302201222222300
512413341200034
6514354512400
765420604216
oct16241525260
94856448810
101921428144
118a6661449
12457595700
132480c703c
14143284cb6
15b3a42099
hex7286aab0

1921428144 has 60 divisors (see below), whose sum is σ = 5457616216. Its totient is φ = 630913536.

The previous prime is 1921428137. The next prime is 1921428169. The reversal of 1921428144 is 4418241291.

1921428144 is a `hidden beast` number, since 1 + 92 + 1 + 428 + 144 = 666.

It is a super-2 number, since 2×19214281442 = 7383772225110569472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1921428099 and 1921428108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89929 + ... + 109224.

Almost surely, 21921428144 is an apocalyptic number.

It is an amenable number.

1921428144 is an abundant number, since it is smaller than the sum of its proper divisors (3536188072).

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

1921428144 is a wasteful number, since it uses less digits than its factorization.

1921428144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199234 (or 199225 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1921428144 is about 43834.0979603778. The cubic root of 1921428144 is about 1243.2010909687.

The spelling of 1921428144 in words is "one billion, nine hundred twenty-one million, four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 199153 398306 597459 796612 1194918 1593224 1792377 2389836 3186448 3584754 4779672 7169508 9559344 13343251 14339016 26686502 28678032 40029753 53373004 80059506 106746008 120089259 160119012 213492016 240178518 320238024 480357036 640476048 960714072 1921428144