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78141493444 = 22724124872
BaseRepresentation
bin100100011000110011…
…0001001000011000100
321110200211000011021211
41020301212021003010
52240013210242234
655521523221204
75434263510100
oct1106146110304
9243624004254
1078141493444
1130159921653
1213189517804
1374a409b7b1
143ad3dd2900
15207525a164
hex12319890c4

78141493444 has 81 divisors (see below), whose sum is σ = 163383721389. Its totient is φ = 32605312320.

The previous prime is 78141493399. The next prime is 78141493459. The reversal of 78141493444 is 44439414187.

The square root of 78141493444 is 279538.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3765295044 + 74376198400 = 61362^2 + 272720^2 .

It is a super-2 number, since 2×781414934442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160454569 + ... + 160455055.

Almost surely, 278141493444 is an apocalyptic number.

78141493444 is the 279538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78141493444

78141493444 is an abundant number, since it is smaller than the sum of its proper divisors (85242227945).

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

78141493444 is an equidigital number, since it uses as much as digits as its factorization.

78141493444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

Multiplying 78141493444 by its sum of digits (49), we get a square (3828933178756 = 19567662).

78141493444 divided by its sum of digits (49) gives a square (1594724356 = 399342).

The spelling of 78141493444 in words is "seventy-eight billion, one hundred forty-one million, four hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 487 574 974 1148 1681 1948 2009 3362 3409 4018 6724 6818 8036 11767 13636 19967 23534 23863 39934 47068 47726 79868 82369 95452 139769 164738 237169 279538 329476 474338 559076 818647 948676 978383 1637294 1660183 1956766 3274588 3320366 3913532 5730529 6640732 9723929 11461058 11621281 19447858 22922116 23242562 38895716 40113703 46485124 68067503 80227406 136135006 160454812 272270012 398681089 476472521 797362178 952945042 1594724356 1905890084 2790767623 5581535246 11163070492 19535373361 39070746722 78141493444