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1114122144304 = 241329271681557
BaseRepresentation
bin10000001101100110110…
…110101100101000110000
310221111202002101000210101
4100031212312230220300
5121223210232104204
62211453132042144
7143330661654631
oct20154666545060
93844662330711
101114122144304
1139a5509a6034
1215bb11303354
13810a47b2090
143bcd0c97888
151deaa6aeea4
hex10366daca30

1114122144304 has 80 divisors (see below), whose sum is σ = 2413696763520. Its totient is φ = 494646082560.

The previous prime is 1114122144299. The next prime is 1114122144319. The reversal of 1114122144304 is 4034412214111.

It is a happy 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, 1293894 + ... + 1975450.

It is an arithmetic number, because the mean of its divisors is an integer number (30171209544).

Almost surely, 21114122144304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114122144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206848381760).

1114122144304 is an abundant number, since it is smaller than the sum of its proper divisors (1299574619216).

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

1114122144304 is a wasteful number, since it uses less digits than its factorization.

1114122144304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681878 (or 681872 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1114122144304 its reverse (4034412214111), we get a palindrome (5148534358415).

The spelling of 1114122144304 in words is "one trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 271 377 464 542 754 1084 1508 2168 3016 3523 4336 6032 7046 7859 14092 15718 28184 31436 56368 62872 102167 125744 204334 408668 681557 817336 1363114 1634672 2726228 5452456 8860241 10904912 17720482 19765153 35440964 39530306 70881928 79060612 141763856 158121224 184701947 256946989 316242448 369403894 513893978 738807788 1027787956 1477615576 2055575912 2401125311 2955231152 4111151824 4802250622 5356356463 9604501244 10712712926 19209002488 21425425852 38418004976 42850851704 69632634019 85701703408 139265268038 278530536076 557061072152 1114122144304