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42541041522 = 237311131991453
BaseRepresentation
bin100111100111101001…
…001100011101110010
311001210202110211011110
4213213221030131302
51144111001312042
631313150054150
73034130613060
oct474751143562
9131722424143
1042541041522
1117050344161
1282b2aaa356
13401c651625
1420b7c63030
15118eb1d09c
hex9e7a4c772

42541041522 has 128 divisors (see below), whose sum is σ = 101840486400. Its totient is φ = 11591838720.

The previous prime is 42541041511. The next prime is 42541041589. The reversal of 42541041522 is 22514014524.

It is a self number, because there is not a number n which added to its sum of digits gives 42541041522.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29277348 + ... + 29278800.

It is an arithmetic number, because the mean of its divisors is an integer number (795628800).

Almost surely, 242541041522 is an apocalyptic number.

42541041522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42541041522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920243200).

42541041522 is an abundant number, since it is smaller than the sum of its proper divisors (59299444878).

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

42541041522 is a wasteful number, since it uses less digits than its factorization.

42541041522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808.

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 42541041522 in words is "forty-two billion, five hundred forty-one million, forty-one thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 113 186 199 217 226 339 398 434 597 651 678 791 1194 1302 1393 1453 1582 2373 2786 2906 3503 4179 4359 4746 6169 7006 8358 8718 10171 10509 12338 18507 20342 21018 22487 24521 30513 37014 43183 44974 45043 49042 61026 67461 73563 86366 90086 129549 134922 135129 147126 157409 164189 259098 270258 289147 314818 315301 328378 472227 492567 578294 630602 697097 867441 944454 945903 985134 1149323 1394194 1734882 1891806 2024029 2091291 2298646 3447969 4048058 4182582 4879679 5089859 6072087 6895938 8963557 9759358 10179718 12144174 14639037 15269577 17927114 26890671 29278074 30539154 32673611 35629013 53781342 62744899 65347222 71258026 98020833 106887039 125489798 188234697 196041666 213774078 228715277 376469394 457430554 686145831 1012881941 1372291662 2025763882 3038645823 6077291646 7090173587 14180347174 21270520761 42541041522