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42144462204 = 2231331794033
BaseRepresentation
bin100111010000000000…
…010111010101111100
311000210010020111121120
4213100000113111330
51142302440242304
631205542030540
73021244006125
oct472000272574
9130703214546
1042144462204
11169674a5259
128202118450
133c8843a000
14207b30d04c
151169dd30d9
hex9d001757c

42144462204 has 96 divisors (see below), whose sum is σ = 112795663680. Its totient is φ = 12204601344.

The previous prime is 42144462181. The next prime is 42144462209. The reversal of 42144462204 is 40226444124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144462209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401172 + ... + 495204.

It is an arithmetic number, because the mean of its divisors is an integer number (1174954830).

Almost surely, 242144462204 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 42144462204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56397831840).

42144462204 is an abundant number, since it is smaller than the sum of its proper divisors (70651201476).

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

42144462204 is a wasteful number, since it uses less digits than its factorization.

42144462204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94096 (or 94068 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 42144462204 in words is "forty-two billion, one hundred forty-four million, four hundred sixty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2197 2652 2873 4394 5746 6591 8619 8788 11492 13182 17238 26364 34476 37349 74698 94033 112047 149396 188066 224094 282099 376132 448188 564198 1128396 1222429 1598561 2444858 3197122 3667287 4795683 4889716 6394244 7334574 9591366 14669148 15891577 19182732 20781293 31783154 41562586 47674731 62343879 63566308 83125172 95349462 124687758 190698924 206590501 249375516 270156809 413181002 540313618 619771503 810470427 826362004 1080627236 1239543006 1620940854 2479086012 3241881708 3512038517 7024077034 10536115551 14048154068 21072231102 42144462204