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42030002144 = 2513198364067
BaseRepresentation
bin100111001001001011…
…101110111111100000
311000111010212022221002
4213021023232333200
51142034140032034
631150332451132
73015354060254
oct471113567740
9130433768832
1042030002144
1116908927769
12818b919aa8
133c6a802870
14206a036264
15115ed23e7e
hex9c92eefe0

42030002144 has 96 divisors (see below), whose sum is σ = 94933399680. Its totient is φ = 18155791872.

The previous prime is 42030002137. The next prime is 42030002149. The reversal of 42030002144 is 44120003024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030002149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623999 + ... + 688065.

It is an arithmetic number, because the mean of its divisors is an integer number (988889580).

Almost surely, 242030002144 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 42030002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47466699840).

42030002144 is an abundant number, since it is smaller than the sum of its proper divisors (52903397536).

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

42030002144 is a wasteful number, since it uses less digits than its factorization.

42030002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64192 (or 64184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42030002144 its reverse (44120003024), we get a palindrome (86150005168).

The spelling of 42030002144 in words is "forty-two billion, thirty million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 83 104 152 166 208 247 304 332 416 494 608 664 988 1079 1328 1577 1976 2158 2656 3154 3952 4316 6308 7904 8632 12616 17264 20501 25232 34528 41002 50464 64067 82004 128134 164008 256268 328016 512536 656032 832871 1025072 1217273 1665742 2050144 2434546 3331484 4869092 5317561 6662968 9738184 10635122 13325936 15824549 19476368 21270244 26651872 31649098 38952736 42540488 63298196 69128293 85080976 101033659 126596392 138256586 170161952 202067318 253192784 276513172 404134636 506385568 553026344 808269272 1106052688 1313437567 1616538544 2212105376 2626875134 3233077088 5253750268 10507500536 21015001072 42030002144