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159855434240 = 295251248779
BaseRepresentation
bin1001010011100000100…
…0000101101000000000
3120021121121012110001112
42110320020011220000
510104340442343430
6201234144422452
714356236525455
oct2247010055000
9507547173045
10159855434240
1161881252827
1226b93317a28
13120c7321358
147a4664182c
154258e33195
hex2538205a00

159855434240 has 80 divisors (see below), whose sum is σ = 384806933280. Its totient is φ = 63687168000.

The previous prime is 159855434239. The next prime is 159855434243. The reversal of 159855434240 is 42434558951.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (159855434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518171 + ... + 766949.

It is an arithmetic number, because the mean of its divisors is an integer number (4810086666).

Almost surely, 2159855434240 is an apocalyptic number.

159855434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159855434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192403466640).

159855434240 is an abundant number, since it is smaller than the sum of its proper divisors (224951499040).

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

159855434240 is an equidigital number, since it uses as much as digits as its factorization.

159855434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249053 (or 249037 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 50.

The spelling of 159855434240 in words is "one hundred fifty-nine billion, eight hundred fifty-five million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 512 640 1004 1255 1280 2008 2510 2560 4016 5020 8032 10040 16064 20080 32128 40160 64256 80320 128512 160640 248779 321280 497558 642560 995116 1243895 1990232 2487790 3980464 4975580 7960928 9951160 15921856 19902320 31843712 39804640 62443529 63687424 79609280 124887058 127374848 159218560 249774116 312217645 318437120 499548232 624435290 636874240 999096464 1248870580 1998192928 2497741160 3996385856 4995482320 7992771712 9990964640 15985543424 19981929280 31971086848 39963858560 79927717120 159855434240