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320022424134 = 232719127149069
BaseRepresentation
bin1001010100000101101…
…00101010101001000110
31010121000220122120010100
410222002310222221012
520220401220033014
6403003303104530
732056311502620
oct4520264525106
91117026576110
10320022424134
111137a2351966
1252032a42146
132424105815a
14116bc3c3c10
1584d03a9009
hex4a82d2aa46

320022424134 has 96 divisors (see below), whose sum is σ = 799541084160. Its totient is φ = 90618782400.

The previous prime is 320022424123. The next prime is 320022424157. The reversal of 320022424134 is 431424220023.

320022424134 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 2 + 242 + 413 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320022424098 and 320022424107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6497352 + ... + 6546420.

It is an arithmetic number, because the mean of its divisors is an integer number (8328552960).

Almost surely, 2320022424134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320022424134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399770542080).

320022424134 is an abundant number, since it is smaller than the sum of its proper divisors (479518660026).

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

320022424134 is a wasteful number, since it uses less digits than its factorization.

320022424134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49546 (or 49543 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 320022424134 its reverse (431424220023), we get a palindrome (751446644157).

The spelling of 320022424134 in words is "three hundred twenty billion, twenty-two million, four hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 271 382 542 573 813 1146 1337 1626 1719 1897 2439 2674 3438 3794 4011 4878 5691 8022 11382 12033 17073 24066 34146 49069 51761 98138 103522 147207 155283 294414 310566 343483 362327 441621 465849 686966 724654 883242 931698 1030449 1086981 2060898 2173962 3091347 3260943 6182694 6521886 9372179 13297699 18744358 26595398 28116537 39893097 56233074 65605253 79786194 84349611 93083893 119679291 131210506 168699222 186167786 196815759 239358582 279251679 393631518 558503358 590447277 837755037 1180894554 1675510074 2539860509 5079721018 7619581527 15239163054 17779023563 22858744581 35558047126 45717489162 53337070689 106674141378 160011212067 320022424134