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42014401044 = 223721153122561
BaseRepresentation
bin100111001000010000…
…001110001000010100
311000110001111201020120
4213020100032020110
51142021141313134
631145014231540
73015104342100
oct471020161024
9130401451216
1042014401044
11169000413a0
1281866555b0
133c674cc745
142067d34900
15115d791649
hex9c840e214

42014401044 has 144 divisors (see below), whose sum is σ = 126754600896. Its totient is φ = 10706841600.

The previous prime is 42014401043. The next prime is 42014401063. The reversal of 42014401044 is 44010441024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014401043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281524 + ... + 404084.

It is an arithmetic number, because the mean of its divisors is an integer number (880240284).

Almost surely, 242014401044 is an apocalyptic number.

42014401044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014401044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63377300448).

42014401044 is an abundant number, since it is smaller than the sum of its proper divisors (84740199852).

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

42014401044 is a wasteful number, since it uses less digits than its factorization.

42014401044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122646 (or 122637 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42014401044 its reverse (44010441024), we get a palindrome (86024842068).

The spelling of 42014401044 in words is "forty-two billion, fourteen million, four hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 53 66 77 84 98 106 132 147 154 159 196 212 231 294 308 318 371 462 539 583 588 636 742 924 1078 1113 1166 1484 1617 1749 2156 2226 2332 2597 3234 3498 4081 4452 5194 6468 6996 7791 8162 10388 12243 15582 16324 24486 28567 31164 48972 57134 85701 114268 122561 171402 245122 342804 367683 490244 735366 857927 1348171 1470732 1715854 2573781 2696342 3431708 4044513 5147562 5392684 6005489 6495733 8089026 9437197 10295124 12010978 12991466 16178052 18016467 18874394 19487199 24021956 25982932 28311591 36032934 37748788 38974398 45470131 56623182 66060379 71453063 72065868 77948796 90940262 113246364 132120758 136410393 142906126 181880524 198181137 214359189 264241516 272820786 285812252 318290917 396362274 428718378 500171441 545641572 636581834 792724548 857436756 954872751 1000342882 1273163668 1500514323 1909745502 2000685764 3001028646 3501200087 3819491004 6002057292 7002400174 10503600261 14004800348 21007200522 42014401044