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144331111111332 = 22329223361379987
BaseRepresentation
bin100000110100010010110100…
…100110111001101010100100
3200221000220211021220110212010
4200310102310212321222210
5122404210103421030312
61230544444101154220
742254402324225205
oct4064226446715244
9627026737813763
10144331111111332
1141a96531577572
12142304050bb970
13626c499971142
14278d93d5a95ac
1511a45b40ac93c
hex8344b49b9aa4

144331111111332 has 72 divisors (see below), whose sum is σ = 350282824478496. Its totient is φ = 46252029130496.

The previous prime is 144331111111331. The next prime is 144331111111357. The reversal of 144331111111332 is 233111111133441.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144331111111332.

It is not an unprimeable number, because it can be changed into a prime (144331111111331) 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, 28338558 + ... + 33041429.

It is an arithmetic number, because the mean of its divisors is an integer number (4865039228868).

Almost surely, 2144331111111332 is an apocalyptic number.

144331111111332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144331111111332 is an abundant number, since it is smaller than the sum of its proper divisors (205951713367164).

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

144331111111332 is a wasteful number, since it uses less digits than its factorization.

144331111111332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61380285 (or 61380254 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

Adding to 144331111111332 its reverse (233111111133441), we get a palindrome (377442222244773).

The spelling of 144331111111332 in words is "one hundred forty-four trillion, three hundred thirty-one billion, one hundred eleven million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 233 348 466 699 841 932 1398 1682 2523 2796 3364 5046 6757 10092 13514 20271 27028 40542 81084 195953 391906 587859 783812 1175718 2351436 61379987 122759974 184139961 245519948 368279922 736559844 1780019623 3560039246 5340058869 7120078492 10680117738 14301536971 21360235476 28603073942 42904610913 51620569067 57206147884 85809221826 103241138134 154861707201 171618443652 206482276268 309723414402 414744572159 619446828804 829489144318 1244233716477 1658978288636 2488467432954 4976934865908 12027592592611 24055185185222 36082777777833 48110370370444 72165555555666 144331111111332