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141349253850 = 23352733143229
BaseRepresentation
bin1000001110100100010…
…0100111001011011010
3111111211212120002002000
42003221010213023122
54303440402110400
6144533541021430
713132523556000
oct2035104471332
9444755502060
10141349253850
1154a44a72572
12234896b4876
131043828385c
146bac8d0a70
153a243e0600
hex20e91272da

141349253850 has 768 divisors, whose sum is σ = 481873920000. Its totient is φ = 30405715200.

The previous prime is 141349253839. The next prime is 141349253867. The reversal of 141349253850 is 58352943141.

141349253850 is a `hidden beast` number, since 1 + 4 + 1 + 349 + 253 + 8 + 50 = 666.

It is a super-2 number, since 2×1413492538502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 141349253796 and 141349253805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 617245536 + ... + 617245764.

It is an arithmetic number, because the mean of its divisors is an integer number (627440000).

Almost surely, 2141349253850 is an apocalyptic number.

141349253850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141349253850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240936960000).

141349253850 is an abundant number, since it is smaller than the sum of its proper divisors (340524666150).

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

141349253850 is a wasteful number, since it uses less digits than its factorization.

141349253850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 141349253850 in words is "one hundred forty-one billion, three hundred forty-nine million, two hundred fifty-three thousand, eight hundred fifty".