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3148944120 = 2333572953271
BaseRepresentation
bin1011101110110001…
…0001001011111000
322010110021221021000
42323230101023320
522422112202440
61240244445000
7141014404050
oct27354211370
98113257230
103148944120
111376551363
1273a6a9760
133b250395a
1421c2d8560
151366b5730
hexbbb112f8

3148944120 has 512 divisors, whose sum is σ = 12690432000. Its totient is φ = 679311360.

The previous prime is 3148944101. The next prime is 3148944143. The reversal of 3148944120 is 214498413.

It is a happy number.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 11619585 + ... + 11619855.

It is an arithmetic number, because the mean of its divisors is an integer number (24786000).

Almost surely, 23148944120 is an apocalyptic number.

3148944120 is a gapful number since it is divisible by the number (30) 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 3148944120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345216000).

3148944120 is an abundant number, since it is smaller than the sum of its proper divisors (9541487880).

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

3148944120 is a wasteful number, since it uses less digits than its factorization.

3148944120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3148944120 is about 56115.4534865397. The cubic root of 3148944120 is about 1465.7334009926.

The spelling of 3148944120 in words is "three billion, one hundred forty-eight million, nine hundred forty-four thousand, one hundred twenty".