Search a number
-
+
157300431440 = 24517910984667
BaseRepresentation
bin1001001001111111010…
…1100001101001010000
3120001000112111212010012
42102133311201221100
510034122402301230
6200132434054052
714236023414635
oct2223765415120
9501015455105
10157300431440
116078aaa1369
122659b71a328
1311aaaba4689
14788319418c
154159990395
hex249fd61a50

157300431440 has 40 divisors (see below), whose sum is σ = 367766684640. Its totient is φ = 62568657536.

The previous prime is 157300431437. The next prime is 157300431451. The reversal of 157300431440 is 44134003751.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 157300431397 and 157300431406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5478014 + ... + 5506653.

It is an arithmetic number, because the mean of its divisors is an integer number (9194167116).

Almost surely, 2157300431440 is an apocalyptic number.

157300431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157300431440 is an abundant number, since it is smaller than the sum of its proper divisors (210466253200).

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

157300431440 is a wasteful number, since it uses less digits than its factorization.

157300431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984859 (or 10984853 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 157300431440 in words is "one hundred fifty-seven billion, three hundred million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 10984667 21969334 43938668 54923335 87877336 109846670 175754672 219693340 439386680 878773360 1966255393 3932510786 7865021572 9831276965 15730043144 19662553930 31460086288 39325107860 78650215720 157300431440