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42354022045324 = 2211243101107188311
BaseRepresentation
bin10011010000101010100000…
…11100000101011010001100
312112222000010121201010121011
421220111100130011122030
521022412014120422244
6230025100310215004
711630656102221523
oct1150252034053214
9175860117633534
1042354022045324
111254a270306400
1249005b0354464
131a82c75a6a212
14a65d34a4d4ba
154d6ad2dca434
hex26855070568c

42354022045324 has 144 divisors (see below), whose sum is σ = 84977564652288. Its totient is φ = 18443834640000.

The previous prime is 42354022045297. The next prime is 42354022045373.

42354022045324 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224821129 + ... + 225009439.

It is an arithmetic number, because the mean of its divisors is an integer number (590121976752).

Almost surely, 242354022045324 is an apocalyptic number.

42354022045324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42354022045324 is an abundant number, since it is smaller than the sum of its proper divisors (42623542606964).

42354022045324 is a wasteful number, since it uses less digits than its factorization.

42354022045324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188588 (or 188575 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

The spelling of 42354022045324 in words is "forty-two trillion, three hundred fifty-four billion, twenty-two million, forty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 86 101 107 121 172 202 214 242 404 428 473 484 946 1111 1177 1892 2222 2354 4343 4444 4601 4708 5203 8686 9202 10406 10807 12221 12947 17372 18404 20812 21614 24442 25894 43228 47773 48884 50611 51788 95546 101222 118877 188311 191092 202444 237754 376622 464701 475508 525503 556721 753244 929402 1051006 1113442 1307647 1858804 2071421 2102012 2226884 2615294 4142842 5111711 5230588 8097373 8285684 10223422 16194746 19019411 20149277 20446844 22785631 32389492 38038822 40298554 45571262 56228821 76077644 80597108 89071103 91142524 112457642 178142206 209213521 221642047 224915284 356284412 418427042 443284094 817834673 836854084 866418911 886568188 979782133 1635669346 1732837822 1959564266 2035076977 2301348731 2438062517 3271338692 3465675644 3919128532 4070153954 4602697462 4876125034 8140307908 8996181403 9205394924 9530608021 9752250068 17992362806 19061216042 22385846747 35984725612 38122432084 44771693494 87508310011 89543386988 98957995433 104836688231 175016620022 197915990866 209673376462 246244314217 350033240044 395831981732 419346752924 492488628434 962591410121 984977256868 1925182820242 3850365640484 10588505511331 21177011022662 42354022045324