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120157426452714 = 23725961139816971
BaseRepresentation
bin11011010100100001010100…
…101110001000100011101010
3120202102221022122102102202020
4123110201110232020203222
5111222124402132441324
61103315320520045310
734211042020022100
oct3324412456104352
9522387278372666
10120157426452714
113531652980a192
1211587393003836
135207a48455b41
142195916c69c70
15dd58851da679
hex6d4854b888ea

120157426452714 has 192 divisors, whose sum is σ = 291027648038400. Its totient is φ = 32956700515200.

The previous prime is 120157426452691. The next prime is 120157426452719. The reversal of 120157426452714 is 417254624751021.

It is a super-2 number, since 2×1201574264527142 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120157426452719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146668249 + ... + 147485219.

It is an arithmetic number, because the mean of its divisors is an integer number (1515769000200).

Almost surely, 2120157426452714 is an apocalyptic number.

120157426452714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120157426452714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145513824019200).

120157426452714 is an abundant number, since it is smaller than the sum of its proper divisors (170870221585686).

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

120157426452714 is a wasteful number, since it uses less digits than its factorization.

120157426452714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817249 (or 817242 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 120157426452714 in words is "one hundred twenty trillion, one hundred fifty-seven billion, four hundred twenty-six million, four hundred fifty-two thousand, seven hundred fourteen".