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122434443144 = 233213472783107
BaseRepresentation
bin111001000000110101…
…0010101011110001000
3102201000200000010200100
41302001222111132020
54001221204140034
6132125015005400
711563016411166
oct1620152253610
9381020003610
10122434443144
1147a19062302
121b88b069860
13b712672480
145cd67b0236
1532b8a82099
hex1c81a95788

122434443144 has 96 divisors (see below), whose sum is σ = 364698472320. Its totient is φ = 36870588288.

The previous prime is 122434443107. The next prime is 122434443217. The reversal of 122434443144 is 441344434221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 122434443099 and 122434443108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347562 + ... + 1435545.

It is an arithmetic number, because the mean of its divisors is an integer number (3798942420).

Almost surely, 2122434443144 is an apocalyptic number.

It is an amenable number.

122434443144 is an abundant number, since it is smaller than the sum of its proper divisors (242264029176).

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

122434443144 is a wasteful number, since it uses less digits than its factorization.

122434443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783179 (or 2783172 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 122434443144 its reverse (441344434221), we get a palindrome (563778877365).

The spelling of 122434443144 in words is "one hundred twenty-two billion, four hundred thirty-four million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 1128 1222 1692 1833 2444 3384 3666 4888 5499 7332 10998 14664 21996 43992 2783107 5566214 8349321 11132428 16698642 22264856 25047963 33397284 36180391 50095926 66794568 72360782 100191852 108541173 130806029 144721564 200383704 217082346 261612058 289443128 325623519 392418087 434164692 523224116 651247038 784836174 868329384 1046448232 1177254261 1302494076 1569672348 1700478377 2354508522 2604988152 3139344696 3400956754 4709017044 5101435131 6801913508 9418034088 10202870262 13603827016 15304305393 20405740524 30608610786 40811481048 61217221572 122434443144