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144859928724 = 223272292831729
BaseRepresentation
bin1000011011101001010…
…0110001100010010100
3111211220112111211122100
42012322110301202110
54333133120204344
6150314151002100
713315523035500
oct2067224614224
9454815454570
10144859928724
1156486720565
12240a9369330
13108776b9c74
147022c6b300
153b7c70a569
hex21ba531894

144859928724 has 108 divisors (see below), whose sum is σ = 440645505300. Its totient is φ = 39961345536.

The previous prime is 144859928723. The next prime is 144859928771. The reversal of 144859928724 is 427829958441.

144859928724 is a `hidden beast` number, since 1 + 448 + 5 + 9 + 92 + 87 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97801303824 + 47058624900 = 312732^2 + 216930^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144859928723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1364709 + ... + 1467020.

It is an arithmetic number, because the mean of its divisors is an integer number (4080050975).

Almost surely, 2144859928724 is an apocalyptic number.

144859928724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144859928724 is an abundant number, since it is smaller than the sum of its proper divisors (295785576576).

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

144859928724 is a wasteful number, since it uses less digits than its factorization.

144859928724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831782 (or 2831770 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 144859928724 in words is "one hundred forty-four billion, eight hundred fifty-nine million, nine hundred twenty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 51156 2831729 5663458 8495187 11326916 16990374 19822103 25485561 33980748 39644206 50971122 59466309 79288412 82120141 101942244 118932618 138754721 164240282 178398927 237865236 246360423 277509442 328480564 356797854 416264163 492720846 555018884 574840987 713595708 739081269 832528326 985441692 1149681974 1248792489 1478162538 1665056652 1724522961 2299363948 2497584978 2956325076 3449045922 4023886909 4995169956 5173568883 6898091844 8047773818 10347137766 12071660727 16095547636 20694275532 24143321454 36214982181 48286642908 72429964362 144859928724