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300021230414142 = 2362336467245339
BaseRepresentation
bin100010000110111100010001…
…0110111010010100100111110
31110100021202020101201101000000
41010031320202313102210332
5303311021434441223032
62542031503413415130
7120123550530144156
oct10415704267224476
91410252211641000
10300021230414142
1187661320038936
122979615b03a4a6
13cb53b5a992553
1454131682c7766
1524a4392621e7c
hex110de22dd293e

300021230414142 has 112 divisors (see below), whose sum is σ = 704097764507520. Its totient is φ = 95655929971536.

The previous prime is 300021230414131. The next prime is 300021230414159. The reversal of 300021230414142 is 241414032120003.

300021230414142 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 2 + 1 + 230 + 414 + 14 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1222761709 + ... + 1223007047.

Almost surely, 2300021230414142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300021230414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352048882253760).

300021230414142 is an abundant number, since it is smaller than the sum of its proper divisors (404076534093378).

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

300021230414142 is a wasteful number, since it uses less digits than its factorization.

300021230414142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281849 (or 281834 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 300021230414142 its reverse (241414032120003), we get a palindrome (541435262534145).

The spelling of 300021230414142 in words is "three hundred trillion, twenty-one billion, two hundred thirty million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 729 1242 1458 1863 3726 5589 11178 16767 33534 36467 72934 109401 218802 245339 328203 490678 656406 736017 838741 984609 1472034 1677482 1969218 2208051 2516223 2953827 4416102 5032446 5642797 5907654 6624153 7548669 8861481 11285594 13248306 15097338 16928391 17722962 19872459 22646007 26584443 33856782 39744918 45292014 50785173 53168886 59617377 67938021 101570346 119234754 135876042 152355519 178852131 203814063 304711038 357704262 407628126 457066557 611442189 914133114 1222884378 1371199671 2742399342 4113599013 8227198026 8946777313 17893554626 26840331939 53680663878 80520995817 161041991634 205775878199 241562987451 411551756398 483125974902 617327634597 724688962353 1234655269194 1449377924706 1851982903791 2174066887059 3703965807582 4348133774118 5555948711373 6522200661177 11111897422746 13044401322354 16667846134119 33335692268238 50003538402357 100007076804714 150010615207071 300021230414142