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142518791939040 = 25335112999132827
BaseRepresentation
bin100000011001111010111101…
…111101111010001111100000
3200200121122220122122111222000
4200121322331331322033200
5122140011441214022130
61223040121255444000
742006433344360006
oct4031727575721740
9620548818574860
10142518791939040
1141457975657460
1213b9911b086600
13616a606412b9a
142729d36a58a76
151172392c89260
hex819ebdf7a3e0

142518791939040 has 192 divisors, whose sum is σ = 544162660312320. Its totient is φ = 34550010155520.

The previous prime is 142518791939033. The next prime is 142518791939047. The reversal of 142518791939040 is 40939197815241.

142518791939040 is a `hidden beast` number, since 1 + 4 + 2 + 518 + 79 + 1 + 9 + 3 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (142518791939033) and next prime (142518791939047).

It is a super-2 number, since 2×1425187919390402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142518791939047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499518894 + ... + 1499613933.

It is an arithmetic number, because the mean of its divisors is an integer number (2834180522460).

Almost surely, 2142518791939040 is an apocalyptic number.

142518791939040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142518791939040 is an abundant number, since it is smaller than the sum of its proper divisors (401643868373280).

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

142518791939040 is a wasteful number, since it uses less digits than its factorization.

142518791939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999132862 (or 2999132848 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 142518791939040 in words is "one hundred forty-two trillion, five hundred eighteen billion, seven hundred ninety-one million, nine hundred thirty-nine thousand, forty".