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42343342300056 = 23372694612032463
BaseRepresentation
bin10011010000010110100111…
…11000000101101110011000
312112220222120022212212021010
421220023103320011232120
521022223131112100211
6230020132442213520
711630130331665120
oct1150132370055630
9175828508785233
1042343342300056
111254578a926746
1248ba50b7b42a0
131a81c632b2a15
14a65600505c80
154d66aa4eb4a6
hex2682d3e05b98

42343342300056 has 128 divisors (see below), whose sum is σ = 121694188492800. Its totient is φ = 12026971937280.

The previous prime is 42343342299997. The next prime is 42343342300117. The reversal of 42343342300056 is 65000324334324.

It is a junction number, because it is equal to n+sod(n) for n = 42343342299987 and 42343342300023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19817281 + ... + 21849743.

It is an arithmetic number, because the mean of its divisors is an integer number (950735847600).

Almost surely, 242343342300056 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 42343342300056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60847094246400).

42343342300056 is an abundant number, since it is smaller than the sum of its proper divisors (79350846192744).

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

42343342300056 is a wasteful number, since it uses less digits than its factorization.

42343342300056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033209 (or 2033205 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 39.

The spelling of 42343342300056 in words is "forty-two trillion, three hundred forty-three billion, three hundred forty-two million, three hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 269 461 538 807 922 1076 1383 1614 1844 1883 2152 2766 3227 3228 3688 3766 5532 5649 6454 6456 7532 9681 11064 11298 12908 15064 19362 22596 25816 38724 45192 77448 124009 248018 372027 496036 744054 868063 992072 1488108 1736126 2032463 2604189 2976216 3472252 4064926 5208378 6097389 6944504 8129852 10416756 12194778 14227241 16259704 20833512 24389556 28454482 42681723 48779112 56908964 85363446 113817928 170726892 341453784 546732547 936965443 1093465094 1640197641 1873930886 2186930188 2810896329 3280395282 3747861772 3827127829 4373860376 5621792658 6558758101 6560790564 7495723544 7654255658 11243585316 11481383487 13117516202 13121581128 15308511316 19676274303 22487170632 22962766974 26235032404 30617022632 39352548606 45925533948 52470064808 78705097212 91851067896 157410194424 252043704167 504087408334 756131112501 1008174816668 1512262225002 1764305929169 2016349633336 3024524450004 3528611858338 5292917787507 6049048900008 7057223716676 10585835575014 14114447433352 21171671150028 42343342300056