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42340143603104 = 254144390780317
BaseRepresentation
bin10011010000010000101010…
…01110000001110110100000
312112220200022101222012221122
421220020111032001312200
521022200103230244404
6230014443215111412
711626655141343044
oct1150102516016640
9175820271865848
1042340143603104
1112544399293346
1248b9978512568
131a818736ac329
14a653b977a024
154d656e7a93be
hex268215381da0

42340143603104 has 96 divisors (see below), whose sum is σ = 85678438741056. Its totient is φ = 20584129812480.

The previous prime is 42340143603097. The next prime is 42340143603119. The reversal of 42340143603104 is 40130634104324.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527122754 + ... + 527203070.

It is an arithmetic number, because the mean of its divisors is an integer number (892483736886).

Almost surely, 242340143603104 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 42340143603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42839219370528).

42340143603104 is an abundant number, since it is smaller than the sum of its proper divisors (43338295137952).

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

42340143603104 is a wasteful number, since it uses less digits than its factorization.

42340143603104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81718 (or 81710 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 42340143603104 its reverse (40130634104324), we get a palindrome (82470777707428).

The spelling of 42340143603104 in words is "forty-two trillion, three hundred forty billion, one hundred forty-three million, six hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 443 656 886 907 1312 1772 1814 3544 3628 7088 7256 14176 14512 18163 29024 36326 37187 72652 74374 80317 145304 148748 160634 290608 297496 321268 401801 581216 594992 642536 803602 1189984 1285072 1607204 2570144 3214408 3292997 6428816 6585994 12857632 13171988 16473841 26343976 32947682 35580431 52687952 65895364 71160862 72847519 105375904 131790728 142321724 145695038 263581456 284643448 291390076 527162912 569286896 582780152 1138573792 1165560304 1458797671 2331120608 2917595342 2986748279 5835190684 5973496558 11670381368 11946993116 23340762736 23893986232 32271450917 46681525472 47787972464 64542901834 95575944928 129085803668 258171607336 516343214672 1032686429344 1323129487597 2646258975194 5292517950388 10585035900776 21170071801552 42340143603104