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214361152542 = 23447254311071
BaseRepresentation
bin1100011110100011101…
…0111001110000011110
3202111022012022211020000
43013220322321300132
512003002423340132
6242250503235130
721326032506255
oct3075072716036
9674265284200
10214361152542
1182a01311709
1235665148aa6
13172a26ba584
14a53752979c
15589914587c
hex31e8eb9c1e

214361152542 has 80 divisors (see below), whose sum is σ = 490784735232. Its totient is φ = 69899610960.

The previous prime is 214361152459. The next prime is 214361152543. The reversal of 214361152542 is 245251163412.

214361152542 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 61 + 1 + 52 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214361152497 and 214361152506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214361152543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19356867 + ... + 19367937.

Almost surely, 2214361152542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214361152542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245392367616).

214361152542 is an abundant number, since it is smaller than the sum of its proper divisors (276423582690).

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

214361152542 is a wasteful number, since it uses less digits than its factorization.

214361152542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13666 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 214361152542 in words is "two hundred fourteen billion, three hundred sixty-one million, one hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 2543 3807 5086 7614 7629 11071 15258 22142 22887 33213 45774 66426 68661 99639 119521 137322 199278 205983 239042 298917 358563 411966 520337 597834 717126 896751 1040674 1075689 1561011 1793502 2151378 3122022 3227067 4683033 6454134 9366066 9681201 14049099 19362402 28098198 28153553 42147297 56307106 84294594 84460659 168921318 253381977 506763954 760145931 1323216991 1520291862 2280437793 2646433982 3969650973 4560875586 7939301946 11908952919 23817905838 35726858757 71453717514 107180576271 214361152542