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141341334210324 = 223311322259520309
BaseRepresentation
bin100000001000110010011000…
…000001001000011100010100
3200112110002200121012102211000
4200020302120001020130110
5122011214023024212244
61220335151302143300
741525401010664333
oct4010623001103424
9615402617172730
10141341334210324
1141043583445436
1213a28a92a21b30
1360b357a112851
1426c8d5830bd1a
15115192c0e5169
hex808c98048714

141341334210324 has 96 divisors (see below), whose sum is σ = 369700651152000. Its totient is φ = 46694654350848.

The previous prime is 141341334210283. The next prime is 141341334210359. The reversal of 141341334210324 is 423012433143141.

141341334210324 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 413 + 3 + 4 + 210 + 3 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271388682 + ... + 271908990.

It is an arithmetic number, because the mean of its divisors is an integer number (3851048449500).

Almost surely, 2141341334210324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141341334210324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184850325576000).

141341334210324 is an abundant number, since it is smaller than the sum of its proper divisors (228359316941676).

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

141341334210324 is a wasteful number, since it uses less digits than its factorization.

141341334210324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542694 (or 542686 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 141341334210324 its reverse (423012433143141), we get a palindrome (564353767353465).

The spelling of 141341334210324 in words is "one hundred forty-one trillion, three hundred forty-one billion, three hundred thirty-four million, two hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 22259 44518 66777 89036 133554 200331 267108 400662 520309 600993 801324 1040618 1201986 1560927 2081236 2403972 2515267 3121854 4682781 5030534 6243708 7545801 9365562 10061068 14048343 15091602 18731124 22637403 28096686 30183204 45274806 56193372 58794917 67912209 90549612 117589834 135824418 176384751 235179668 271648836 352769502 529154253 705539004 1058308506 1587462759 2116617012 3174925518 6349851036 11581558031 23163116062 34744674093 46326232124 69489348186 104234022279 138978696372 208468044558 312702066837 416936089116 625404133674 1250808267348 1308716057503 2617432115006 3926148172509 5234864230012 7852296345018 11778444517527 15704592690036 23556889035054 35335333552581 47113778070108 70670667105162 141341334210324