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122343253234440 = 23357145646730041
BaseRepresentation
bin11011110100010101000010…
…001001100101001100001000
3121001011220022200010212211120
4123310111002021211030020
5112013432440312000230
61112111414205555240
734525002603064110
oct3364250211451410
9531156280125746
10122343253234440
1135a89533a72537
121187ab37b75b20
135335bc485c394
14222d633314040
15e226671e0310
hex6f4542265308

122343253234440 has 64 divisors (see below), whose sum is σ = 419462582520960. Its totient is φ = 27964172167680.

The previous prime is 122343253234403. The next prime is 122343253234469. The reversal of 122343253234440 is 44432352343221.

122343253234440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1223432532344402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 122343253234392 and 122343253234401.

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 15 ways as a sum of consecutive naturals, for example, 72823364181 + ... + 72823365860.

It is an arithmetic number, because the mean of its divisors is an integer number (6554102851890).

Almost surely, 2122343253234440 is an apocalyptic number.

122343253234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122343253234440 is an abundant number, since it is smaller than the sum of its proper divisors (297119329286520).

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

122343253234440 is a wasteful number, since it uses less digits than its factorization.

122343253234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145646730062 (or 145646730058 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

The spelling of 122343253234440 in words is "one hundred twenty-two trillion, three hundred forty-three billion, two hundred fifty-three million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 145646730041 291293460082 436940190123 582586920164 728233650205 873880380246 1019527110287 1165173840328 1456467300410 1747760760492 2039054220574 2184700950615 2912934600820 3058581330861 3495521520984 4078108441148 4369401901230 5097635551435 5825869201640 6117162661722 8156216882296 8738803802460 10195271102870 12234325323444 15292906654305 17477607604920 20390542205740 24468650646888 30585813308610 40781084411480 61171626617220 122343253234440