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48140801280 = 28345111317191
BaseRepresentation
bin101100110101011010…
…100101010100000000
311121021000102002110000
4230311122211110000
51242043021120110
634040544240000
73322655026215
oct546532452400
9147230362400
1048140801280
1119464255590
1293b6310000
134702823640
142489847b0c
1513bb5461c0
hexb356a5500

48140801280 has 1440 divisors, whose sum is σ = 215397439488. Its totient is φ = 10085990400.

The previous prime is 48140801221. The next prime is 48140801281. The reversal of 48140801280 is 8210804184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48140801281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252045985 + ... + 252046175.

Almost surely, 248140801280 is an apocalyptic number.

48140801280 is a gapful number since it is divisible by the number (40) 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 48140801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107698719744).

48140801280 is an abundant number, since it is smaller than the sum of its proper divisors (167256638208).

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

48140801280 is a wasteful number, since it uses less digits than its factorization.

48140801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 48140801280 in words is "forty-eight billion, one hundred forty million, eight hundred one thousand, two hundred eighty".