Search a number
-
+
142300422223232 = 2771315977649797
BaseRepresentation
bin100000010110101111100110…
…000111100011010110000000
3200122211210021002111120200212
4200112233212013203112000
5122122422231042120412
61222351524514533252
741654603055410150
oct4026574607432600
9618753232446625
10142300422223232
11413832a7642949
1213b62937597228
136152b453c62b0
14271d53cdca760
15116b861c7b222
hex816be61e3580

142300422223232 has 128 divisors (see below), whose sum is σ = 349128212946240. Its totient is φ = 56259414908928.

The previous prime is 142300422223213. The next prime is 142300422223243. The reversal of 142300422223232 is 232322224003241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14776958 + ... + 22426754.

Almost surely, 2142300422223232 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 142300422223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174564106473120).

142300422223232 is an abundant number, since it is smaller than the sum of its proper divisors (206827790723008).

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

142300422223232 is a wasteful number, since it uses less digits than its factorization.

142300422223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651428 (or 7651416 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 142300422223232 its reverse (232322224003241), we get a palindrome (374622646226473).

The spelling of 142300422223232 in words is "one hundred forty-two trillion, three hundred billion, four hundred twenty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1597 1664 2912 3194 5824 6388 11179 11648 12776 20761 22358 25552 41522 44716 51104 83044 89432 102208 145327 166088 178864 204416 290654 332176 357728 581308 664352 715456 1162616 1328704 1430912 2325232 2657408 4650464 7649797 9300928 15299594 18601856 30599188 53548579 61198376 99447361 107097158 122396752 198894722 214194316 244793504 397789444 428388632 489587008 696131527 795578888 856777264 979174016 1392263054 1591157776 1713554528 2784526108 3182315552 3427109056 5569052216 6364631104 6854218112 11138104432 12216725809 12729262208 22276208864 24433451618 44552417728 48866903236 85517080663 89104835456 97733806472 158817435517 171034161326 195467612944 317634871034 342068322652 390935225888 635269742068 684136645304 781870451776 1111722048619 1270539484136 1368273290608 1563740903552 2223444097238 2541078968272 2736546581216 4446888194476 5082157936544 5473093162432 8893776388952 10164315873088 10946186324864 17787552777904 20328631746176 35575105555808 71150211111616 142300422223232