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42010340424240 = 2435947184839583
BaseRepresentation
bin10011000110101010010110…
…11010101111101000110000
312111202011000212002211200010
421203111023122233220300
521001244134122033430
6225203141200254520
711564101253516166
oct1143251332575060
9174664025084603
1042010340424240
1112427537a64711
124865a76011440
131a597341cba56
14a534503c5236
154ccbba8edcb0
hex26354b6afa30

42010340424240 has 80 divisors (see below), whose sum is σ = 130369576670208. Its totient is φ = 11190927652608.

The previous prime is 42010340424233. The next prime is 42010340424251. The reversal of 42010340424240 is 4242404301024.

42010340424240 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42010340424198 and 42010340424207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92192512 + ... + 92647071.

Almost surely, 242010340424240 is an apocalyptic number.

42010340424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42010340424240 is an abundant number, since it is smaller than the sum of its proper divisors (88359236245968).

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

42010340424240 is a wasteful number, since it uses less digits than its factorization.

42010340424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184840546 (or 184840540 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42010340424240 its reverse (4242404301024), we get a palindrome (46252744725264).

The spelling of 42010340424240 in words is "forty-two trillion, ten billion, three hundred forty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 947 1894 2841 3788 4735 5682 7576 9470 11364 14205 15152 18940 22728 28410 37880 45456 56820 75760 113640 227280 184839583 369679166 554518749 739358332 924197915 1109037498 1478716664 1848395830 2218074996 2772593745 2957433328 3696791660 4436149992 5545187490 7393583320 8872299984 11090374980 14787166640 22180749960 44361499920 175043085101 350086170202 525129255303 700172340404 875215425505 1050258510606 1400344680808 1750430851010 2100517021212 2625646276515 2800689361616 3500861702020 4201034042424 5251292553030 7001723404040 8402068084848 10502585106060 14003446808080 21005170212120 42010340424240