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141353022120024 = 233111353777109019
BaseRepresentation
bin100000001000111101010000…
…101010111110000001011000
3200112111012212011001202202110
4200020331100222332001120
5122011411442130320044
61220344403142432320
741526263442404661
oct4010752052760130
9615435764052673
10141353022120024
1141048530a14a40
1213a2b1b51326a0
1360b46c0705450
1426c97466ca368
151151db32696b9
hex808f50abe058

141353022120024 has 128 divisors (see below), whose sum is σ = 422995981766400. Its totient is φ = 38793282178560.

The previous prime is 141353022120019. The next prime is 141353022120031. The reversal of 141353022120024 is 420021220353141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141353022119973 and 141353022120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388372614 + ... + 388736405.

It is an arithmetic number, because the mean of its divisors is an integer number (3304656107550).

Almost surely, 2141353022120024 is an apocalyptic number.

It is an amenable number.

141353022120024 is an abundant number, since it is smaller than the sum of its proper divisors (281642959646376).

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

141353022120024 is a wasteful number, since it uses less digits than its factorization.

141353022120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777109105 (or 777109101 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 141353022120024 its reverse (420021220353141), we get a palindrome (561374242473165).

The spelling of 141353022120024 in words is "one hundred forty-one trillion, three hundred fifty-three billion, twenty-two million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 53 66 78 88 104 106 132 143 156 159 212 264 286 312 318 424 429 572 583 636 689 858 1144 1166 1272 1378 1716 1749 2067 2332 2756 3432 3498 4134 4664 5512 6996 7579 8268 13992 15158 16536 22737 30316 45474 60632 90948 181896 777109019 1554218038 2331327057 3108436076 4662654114 6216872152 8548199209 9325308228 10102417247 17096398418 18650616456 20204834494 25644597627 30307251741 34192796836 40409668988 41186778007 51289195254 60614503482 68385593672 80819337976 82373556014 102578390508 111126589717 121229006964 123560334021 164747112028 205156781016 222253179434 242458013928 247120668042 329494224056 333379769151 444506358868 453054558077 494241336084 535428114091 666759538302 889012717736 906109116154 988482672168 1070856228182 1333519076604 1359163674231 1606284342273 1812218232308 2141712456364 2667038153208 2718327348462 3212568684546 3624436464616 4283424912728 5436654696924 5889709255001 6425137369092 10873309393848 11779418510002 12850274738184 17669127765003 23558837020004 35338255530006 47117674040008 70676511060012 141353022120024