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3138842432 = 261110741669
BaseRepresentation
bin1011101100010110…
…1110111101000000
322002202021201100102
42323011232331000
522412020424212
61235244141532
7140532502055
oct27305567500
98082251312
103138842432
111370881860
127372378a8
133b03a7a1b
1421ac2902c
1513586c5c2
hexbb16ef40

3138842432 has 56 divisors (see below), whose sum is σ = 6858548640. Its totient is φ = 1413378560.

The previous prime is 3138842419. The next prime is 3138842459. The reversal of 3138842432 is 2342488313.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 54494 + ... + 96162.

Almost surely, 23138842432 is an apocalyptic number.

3138842432 is a gapful number since it is divisible by the number (32) 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 3138842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429274320).

3138842432 is an abundant number, since it is smaller than the sum of its proper divisors (3719706208).

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

3138842432 is a wasteful number, since it uses less digits than its factorization.

3138842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41799 (or 41789 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 3138842432 is about 56025.3731089763. The cubic root of 3138842432 is about 1464.1643837832.

The spelling of 3138842432 in words is "three billion, one hundred thirty-eight million, eight hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 176 214 352 428 704 856 1177 1712 2354 3424 4708 6848 9416 18832 37664 41669 75328 83338 166676 333352 458359 666704 916718 1333408 1833436 2666816 3666872 4458583 7333744 8917166 14667488 17834332 29334976 35668664 49044413 71337328 98088826 142674656 196177652 285349312 392355304 784710608 1569421216 3138842432