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41342442324144 = 2431379838657139
BaseRepresentation
bin10010110011001110010011…
…00101101100000010110000
312102101022001212222220220220
421121213021211230002300
520404323310213333034
6223532242242133040
711464615155400443
oct1131471145540260
9172338055886826
1041342442324144
111219a25a995605
124778538351180
131a0b76372b770
14a2cdb074b65a
154ba629c60749
hex2599c996c0b0

41342442324144 has 80 divisors (see below), whose sum is σ = 116472703603200. Its totient is φ = 12559729298688.

The previous prime is 41342442324143. The next prime is 41342442324151. The reversal of 41342442324144 is 44142324424314.

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

It is a junction number, because it is equal to n+sod(n) for n = 41342442324096 and 41342442324105.

It is not an unprimeable number, because it can be changed into a prime (41342442324143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419279274 + ... + 419377865.

It is an arithmetic number, because the mean of its divisors is an integer number (1455908795040).

Almost surely, 241342442324144 is an apocalyptic number.

It is an amenable number.

41342442324144 is an abundant number, since it is smaller than the sum of its proper divisors (75130261279056).

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

41342442324144 is a wasteful number, since it uses less digits than its factorization.

41342442324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838657242 (or 838657236 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

Adding to 41342442324144 its reverse (44142324424314), we get a palindrome (85484766748458).

The spelling of 41342442324144 in words is "forty-one trillion, three hundred forty-two billion, four hundred forty-two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1264 1896 2054 3081 3792 4108 6162 8216 12324 16432 24648 49296 838657139 1677314278 2515971417 3354628556 5031942834 6709257112 10063885668 10902542807 13418514224 20127771336 21805085614 32707628421 40255542672 43610171228 65415256842 66253913981 87220342456 130830513684 132507827962 174440684912 198761741943 261661027368 265015655924 397523483886 523322054736 530031311848 795046967772 861300881753 1060062623696 1590093935544 1722601763506 2583902645259 3180187871088 3445203527012 5167805290518 6890407054024 10335610581036 13780814108048 20671221162072 41342442324144