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144061020 = 223256471237
BaseRepresentation
bin10001001011000…
…11001001011100
3101001002001120100
420211203021130
5243334423040
622143421100
73366332655
oct1045431134
9331061510
10144061020
11743561a4
12402b4790
1323acc90c
14151c052c
15c9a9b30
hex896325c

144061020 has 72 divisors (see below), whose sum is σ = 438014304. Its totient is φ = 38325888.

The previous prime is 144061019. The next prime is 144061033. The reversal of 144061020 is 20160441.

144061020 is a `hidden beast` number, since 14 + 40 + 610 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144060984 and 144061002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115842 + ... + 117078.

It is an arithmetic number, because the mean of its divisors is an integer number (6083532).

Almost surely, 2144061020 is an apocalyptic number.

144061020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144061020 is an abundant number, since it is smaller than the sum of its proper divisors (293953284).

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

144061020 is a wasteful number, since it uses less digits than its factorization.

144061020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144061020 is about 12002.5422307110. The cubic root of 144061020 is about 524.2223043310. Note that the first 3 decimals are identical.

The spelling of 144061020 in words is "one hundred forty-four million, sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 647 1237 1294 1941 2474 2588 3235 3711 3882 4948 5823 6185 6470 7422 7764 9705 11133 11646 12370 12940 14844 18555 19410 22266 23292 24740 29115 37110 38820 44532 55665 58230 74220 111330 116460 222660 800339 1600678 2401017 3201356 4001695 4802034 7203051 8003390 9604068 12005085 14406102 16006780 24010170 28812204 36015255 48020340 72030510 144061020