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123434340024 = 23331311701761
BaseRepresentation
bin111001011110101000…
…0101000111010111000
3102210121100111011100010
41302331100220322320
54010243142340044
6132412134141520
711626550402352
oct1627520507270
9383540434303
10123434340024
1148391515666
121bb09ab18a0
13b841874728
145d8d4d20d2
153326742bb9
hex1cbd428eb8

123434340024 has 128 divisors (see below), whose sum is σ = 320440872960. Its totient is φ = 39580800000.

The previous prime is 123434340017. The next prime is 123434340059. The reversal of 123434340024 is 420043434321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123434339973 and 123434340000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162199804 + ... + 162200564.

It is an arithmetic number, because the mean of its divisors is an integer number (2503444320).

Almost surely, 2123434340024 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 123434340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220436480).

123434340024 is an abundant number, since it is smaller than the sum of its proper divisors (197006532936).

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

123434340024 is a wasteful number, since it uses less digits than its factorization.

123434340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 123434340024 its reverse (420043434321), we get a palindrome (543477774345).

The spelling of 123434340024 in words is "one hundred twenty-three billion, four hundred thirty-four million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 311 372 622 701 744 761 933 1244 1402 1522 1866 2103 2283 2488 2804 3044 3732 4206 4566 5608 6088 7464 8412 9132 9641 16824 18264 19282 21731 23591 28923 38564 43462 47182 57846 65193 70773 77128 86924 94364 115692 130386 141546 173848 188728 218011 231384 236671 260772 283092 436022 473342 521544 533461 566184 654033 710013 872044 946684 1066922 1308066 1420026 1600383 1744088 1893368 2133844 2616132 2840052 3200766 4267688 5232264 5680104 6401532 6758341 7336801 12803064 13516682 14673602 16537291 20275023 22010403 27033364 29347204 33074582 40550046 44020806 49611873 54066728 58694408 66149164 81100092 88041612 99223746 132298328 162200184 165906371 176083224 198447492 331812742 396894984 497719113 663625484 995438226 1327250968 1990876452 3981752904 5143097501 10286195002 15429292503 20572390004 30858585006 41144780008 61717170012 123434340024