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122440440344 = 23314710504499
BaseRepresentation
bin111001000001000000…
…1001101101000011000
3102201001002021211021212
41302002001031220120
54001224223042334
6132125351322252
711563121366555
oct1620201155030
9381032254255
10122440440344
1147a21489072
121b891080388
13b713992101
145cd74d1a2c
1532b9368ece
hex1c8204da18

122440440344 has 32 divisors (see below), whose sum is σ = 242023680000. Its totient is φ = 57984828960.

The previous prime is 122440440337. The next prime is 122440440347. The reversal of 122440440344 is 443044044221.

122440440344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1224404403442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122440440344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122440440347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5240594 + ... + 5263905.

It is an arithmetic number, because the mean of its divisors is an integer number (7563240000).

Almost surely, 2122440440344 is an apocalyptic number.

It is an amenable number.

122440440344 is a deficient number, since it is larger than the sum of its proper divisors (119583239656).

122440440344 is a wasteful number, since it uses less digits than its factorization.

122440440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504583 (or 10504579 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 122440440344 its reverse (443044044221), we get a palindrome (565484484565).

The spelling of 122440440344 in words is "one hundred twenty-two billion, four hundred forty million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 31 47 62 94 124 188 248 376 1457 2914 5828 11656 10504499 21008998 42017996 84035992 325639469 493711453 651278938 987422906 1302557876 1974845812 2605115752 3949691624 15305055043 30610110086 61220220172 122440440344