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142622243244 = 2232133114096977
BaseRepresentation
bin1000010011010011110…
…0101011100110101100
3111122010120220122020100
42010310330223212230
54314042243240434
6145304133351100
713206212031225
oct2046474534654
9448116818210
10142622243244
11555385a1318
1223783a98490
13105abc22410
146c8d9c024c
153a9b047699
hex2134f2b9ac

142622243244 has 144 divisors (see below), whose sum is σ = 401115536640. Its totient is φ = 42431938560.

The previous prime is 142622243243. The next prime is 142622243273. The reversal of 142622243244 is 442342226241.

It is a happy number.

142622243244 is a `hidden beast` number, since 1 + 4 + 2 + 622 + 2 + 4 + 3 + 24 + 4 = 666.

142622243244 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1426222432442 (a number of 23 digits) contains 22 as substring.

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

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 = 142622243199 and 142622243208.

It is not an unprimeable number, because it can be changed into a prime (142622243243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20438284 + ... + 20445260.

It is an arithmetic number, because the mean of its divisors is an integer number (2785524560).

Almost surely, 2142622243244 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 142622243244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200557768320).

142622243244 is an abundant number, since it is smaller than the sum of its proper divisors (258493293396).

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

142622243244 is a wasteful number, since it uses less digits than its factorization.

142622243244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440 (or 8435 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 142622243244 its reverse (442342226241), we get a palindrome (584964469485).

The spelling of 142622243244 in words is "one hundred forty-two billion, six hundred twenty-two million, two hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1409 1612 2418 2818 3627 4227 4836 5636 6977 7254 8454 12681 13954 14508 16908 18317 20931 25362 27908 36634 41862 43679 50724 54951 62793 73268 83724 87358 90701 109902 125586 131037 164853 174716 181402 216287 219804 251172 262074 272103 329706 362804 393111 432574 524148 544206 567827 648861 659412 786222 816309 865148 1088412 1135654 1297722 1572444 1632618 1703481 1946583 2271308 2595444 2811731 3265236 3406962 3893166 5110443 5623462 6813924 7786332 8435193 9830593 10220886 11246924 16870386 19661186 20441772 25305579 29491779 33740772 39322372 50611158 58983558 88475337 101222316 117967116 127797709 176950674 255595418 304748383 353901348 383393127 511190836 609496766 766786254 914245149 1150179381 1218993532 1533572508 1828490298 2300358762 2742735447 3656980596 3961728979 4600717524 5485470894 7923457958 10970941788 11885186937 15846915916 23770373874 35655560811 47540747748 71311121622 142622243244