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214411146132 = 223432621158537
BaseRepresentation
bin1100011110101111100…
…1100111001110010100
3202111102200101202112110
43013223321213032110
512003103223134012
6242255450551020
721330210446211
oct3075371471624
9674380352473
10214411146132
1182a27558627
1235679a38470
13172acb72a91
14a540020b08
15589d71d73c
hex31ebe67394

214411146132 has 48 divisors (see below), whose sum is σ = 512125935552. Its totient is φ = 69781205760.

The previous prime is 214411146121. The next prime is 214411146149. The reversal of 214411146132 is 231641114412.

It is a super-2 number, since 2×2144111461322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214411146132.

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, 1273168 + ... + 1431704.

It is an arithmetic number, because the mean of its divisors is an integer number (10669290324).

Almost surely, 2214411146132 is an apocalyptic number.

It is an amenable number.

214411146132 is an abundant number, since it is smaller than the sum of its proper divisors (297714789420).

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

214411146132 is a wasteful number, since it uses less digits than its factorization.

214411146132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161208 (or 161206 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The spelling of 214411146132 in words is "two hundred fourteen billion, four hundred eleven million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 2621 5242 7863 10484 15726 31452 112703 158537 225406 317074 338109 450812 475611 634148 676218 951222 1352436 1902444 6817091 13634182 20451273 27268364 40902546 81805092 415525477 831050954 1246576431 1662101908 2493152862 4986305724 17867595511 35735191022 53602786533 71470382044 107205573066 214411146132