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141148146350250 = 232531321731369761
BaseRepresentation
bin100000000101111110011101…
…000111111011100010101010
3200111202122001000011022112100
4200011332131013323202222
5122000032400431202000
61220110321355554230
741505421435163514
oct4005763507734252
9614678030138470
10141148146350250
1140a79657987846
12139b755875b976
13609b2a0202c00
1426bd86cc44bb4
15114b8c1c2ca00
hex805f9d1fb8aa

141148146350250 has 576 divisors, whose sum is σ = 438996816786528. Its totient is φ = 32595443712000.

The previous prime is 141148146350173. The next prime is 141148146350273. The reversal of 141148146350250 is 52053641841141.

141148146350250 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 8 + 1 + 4 + 635 + 0 + 2 + 5 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 139091902200729 + 2056244149521 = 11793723^2 + 1433961^2 .

It is a super-2 number, since 2×1411481463502502 (a number of 29 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 = 141148146350196 and 141148146350205.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2023275370 + ... + 2023345130.

Almost surely, 2141148146350250 is an apocalyptic number.

141148146350250 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 141148146350250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219498408393264).

141148146350250 is an abundant number, since it is smaller than the sum of its proper divisors (297848670436278).

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

141148146350250 is a wasteful number, since it uses less digits than its factorization.

141148146350250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70140 (or 70114 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 141148146350250 in words is "one hundred forty-one trillion, one hundred forty-eight billion, one hundred forty-six million, three hundred fifty thousand, two hundred fifty".