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144391242024 = 233217235128987
BaseRepresentation
bin1000011001111001100…
…0111000000100101000
3111210200212121002100200
42012132120320010220
54331203124221044
6150155445232200
713301102210121
oct2063630700450
9453625532320
10144391242024
1156266101287
1223b98402660
1310801579863
146dba907048
153b514ca369
hex219e638128

144391242024 has 96 divisors (see below), whose sum is σ = 432065949120. Its totient is φ = 43329673728.

The previous prime is 144391242019. The next prime is 144391242029. The reversal of 144391242024 is 420242193441.

144391242024 is a `hidden beast` number, since 1 + 4 + 4 + 391 + 242 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (144391242019) and next prime (144391242029).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144391242024.

It is not an unprimeable number, because it can be changed into a prime (144391242029) 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, 2536342 + ... + 2592645.

It is an arithmetic number, because the mean of its divisors is an integer number (4500686970).

Almost surely, 2144391242024 is an apocalyptic number.

It is an amenable number.

144391242024 is an abundant number, since it is smaller than the sum of its proper divisors (287674707096).

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

144391242024 is a wasteful number, since it uses less digits than its factorization.

144391242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129039 (or 5129032 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 144391242024 in words is "one hundred forty-four billion, three hundred ninety-one million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4692 7038 9384 14076 28152 5128987 10257974 15386961 20515948 30773922 41031896 46160883 61547844 87192779 92321766 117966701 123095688 174385558 184643532 235933402 261578337 348771116 353900103 369287064 471866804 523156674 697542232 707800206 784735011 943733608 1046313348 1061700309 1415600412 1569470022 2005433917 2092626696 2123400618 2831200824 3138940044 4010867834 4246801236 6016301751 6277880088 8021735668 8493602472 12032603502 16043471336 18048905253 24065207004 36097810506 48130414008 72195621012 144391242024