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3148853940 = 22345672433
BaseRepresentation
bin1011101110101111…
…1011001010110100
322010110010100120000
42323223323022310
522422101311230
61240242511300
7141013550121
oct27353731264
98113110500
103148853940
11137649a631
1273a665530
133b24a18ab
1421c2b3748
15136698b60
hexbbafb2b4

3148853940 has 180 divisors, whose sum is σ = 10050864516. Its totient is φ = 825251328.

The previous prime is 3148853927. The next prime is 3148853963. The reversal of 3148853940 is 493588413.

3148853940 is a `hidden beast` number, since 31 + 4 + 88 + 539 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 703947024 + 2444906916 = 26532^2 + 49446^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×31488539402 = 19830562270907047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7271964 + ... + 7272396.

Almost surely, 23148853940 is an apocalyptic number.

3148853940 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 3148853940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025432258).

3148853940 is an abundant number, since it is smaller than the sum of its proper divisors (6902010576).

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

3148853940 is a wasteful number, since it uses less digits than its factorization.

3148853940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3148853940 is about 56114.6499588120. The cubic root of 3148853940 is about 1465.7194088845.

The spelling of 3148853940 in words is "three billion, one hundred forty-eight million, eight hundred fifty-three thousand, nine hundred forty".