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144286036272 = 24327411134819
BaseRepresentation
bin1000011001100000011…
…1100011000100110000
3111210102112122002012100
42012120013203010300
54330444211130042
6150141210300400
713265354033610
oct2063007430460
9453375562170
10144286036272
1156211784684
1223b69127700
13107b5832731
146daa95ca40
153b4714824c
hex21981e3130

144286036272 has 120 divisors (see below), whose sum is σ = 461611804160. Its totient is φ = 41213370240.

The previous prime is 144286036267. The next prime is 144286036313. The reversal of 144286036272 is 272630682441.

It is a happy number.

144286036272 is a `hidden beast` number, since 1 + 4 + 4 + 286 + 0 + 362 + 7 + 2 = 666.

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, 4126479 + ... + 4161297.

Almost surely, 2144286036272 is an apocalyptic number.

144286036272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144286036272 is an abundant number, since it is smaller than the sum of its proper divisors (317325767888).

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

144286036272 is a wasteful number, since it uses less digits than its factorization.

144286036272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38951 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 144286036272 in words is "one hundred forty-four billion, two hundred eighty-six million, thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4111 8222 12333 16444 24666 28777 32888 34819 36999 49332 57554 65776 69638 73998 86331 98664 104457 115108 139276 147996 172662 197328 208914 230216 243733 258993 278552 295992 313371 345324 417828 460432 487466 517986 557104 591984 626742 690648 731199 835656 974932 1035972 1253484 1381296 1462398 1671312 1949864 2071944 2193597 2506968 2924796 3899728 4143888 4387194 5013936 5849592 8774388 11699184 17548776 35097552 143140909 286281818 429422727 572563636 858845454 1001986363 1145127272 1288268181 1717690908 2003972726 2290254544 2576536362 3005959089 3435381816 4007945452 5153072724 6011918178 6870763632 8015890904 9017877267 10306145448 12023836356 16031781808 18035754534 20612290896 24047672712 36071509068 48095345424 72143018136 144286036272