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345244442544 = 243273314392273
BaseRepresentation
bin1010000011000100010…
…11000001111110110000
31020000010200022211221100
411001202023001332300
521124030034130134
6422334134324400
733641323225161
oct5014213017660
91200120284840
10345244442544
1112346553a681
1256ab17b9700
13267305879c1
14129d2041768
158ea97d4999
hex50622c1fb0

345244442544 has 120 divisors (see below), whose sum is σ = 968621397120. Its totient is φ = 114794090496.

The previous prime is 345244442461. The next prime is 345244442549. The reversal of 345244442544 is 445244442543.

345244442544 is a `hidden beast` number, since 3 + 4 + 5 + 24 + 44 + 42 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345244442544.

It is not an unprimeable number, because it can be changed into a prime (345244442549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151888192 + ... + 151890464.

It is an arithmetic number, because the mean of its divisors is an integer number (8071844976).

Almost surely, 2345244442544 is an apocalyptic number.

It is an amenable number.

345244442544 is an abundant number, since it is smaller than the sum of its proper divisors (623376954576).

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

345244442544 is a wasteful number, since it uses less digits than its factorization.

345244442544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4450 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 45.

Subtracting 345244442544 from its reverse (445244442543), we obtain a palindrome (99999999999).

The spelling of 345244442544 in words is "three hundred forty-five billion, two hundred forty-four million, four hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 733 1439 1466 2199 2273 2878 2932 4317 4398 4546 5756 5864 6597 6819 8634 8796 9092 11512 11728 12951 13194 13638 17268 17592 18184 20457 23024 25902 26388 27276 34536 35184 36368 40914 51804 52776 54552 69072 81828 103608 105552 109104 163656 207216 327312 1054787 1666109 2109574 3164361 3270847 3332218 4219148 4998327 6328722 6541694 6664436 8438296 9493083 9812541 9996654 12657444 13083388 13328872 14994981 16876592 18986166 19625082 19993308 25314888 26166776 26657744 29437623 29989962 37972332 39250164 39986616 50629776 52333552 58875246 59979924 75944664 78500328 79973232 117750492 119959848 151889328 157000656 235500984 239919696 471001968 2397530851 4795061702 7192592553 9590123404 14385185106 19180246808 21577777659 28770370212 38360493616 43155555318 57540740424 86311110636 115081480848 172622221272 345244442544