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144250020 = 223252334843
BaseRepresentation
bin10001001100100…
…01010010100100
3101001102122211100
420212101102210
5243412000040
622151440100
73401050665
oct1046212244
9331378740
10144250020
11744751a2
1240386030
1323b67955
141522d36c
15c9e5b30
hex89914a4

144250020 has 72 divisors (see below), whose sum is σ = 456595776. Its totient is φ = 36793152.

The previous prime is 144250019. The next prime is 144250027. The reversal of 144250020 is 20052441.

144250020 is a `hidden beast` number, since 144 + 2 + 500 + 20 = 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 = 144249975 and 144250002.

It is not an unprimeable number, because it can be changed into a prime (144250027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13282 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (6341608).

Almost surely, 2144250020 is an apocalyptic number.

144250020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144250020 is an abundant number, since it is smaller than the sum of its proper divisors (312345756).

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

144250020 is a wasteful number, since it uses less digits than its factorization.

144250020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34881 (or 34876 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 144250020 is about 12010.4129820752. The cubic root of 144250020 is about 524.4514542630.

The spelling of 144250020 in words is "one hundred forty-four million, two hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 34843 69686 104529 139372 174215 209058 313587 348430 418116 522645 627174 696860 801389 1045290 1254348 1567935 1602778 2090580 2404167 3135870 3205556 4006945 4808334 6271740 7212501 8013890 9616668 12020835 14425002 16027780 24041670 28850004 36062505 48083340 72125010 144250020