Search a number
-
+
3138599814 = 23737732379
BaseRepresentation
bin1011101100010011…
…0011101110000110
322002201211101112120
42323010303232012
522411440143224
61235235030410
7140530441530
oct27304635606
98081741476
103138599814
111370726549
1273713b406
133b032146c
1421aba4850
15135820779
hexbb133b86

3138599814 has 96 divisors (see below), whose sum is σ = 7489854720. Its totient is φ = 858283776.

The previous prime is 3138599767. The next prime is 3138599831. The reversal of 3138599814 is 4189958313.

It is a hoax number, since the sum of its digits (51) 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 47 ways as a sum of consecutive naturals, for example, 8281077 + ... + 8281455.

It is an arithmetic number, because the mean of its divisors is an integer number (78019320).

Almost surely, 23138599814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138599814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744927360).

3138599814 is an abundant number, since it is smaller than the sum of its proper divisors (4351254906).

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

3138599814 is a wasteful number, since it uses less digits than its factorization.

3138599814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 501 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 3138599814 is about 56023.2078160471. The cubic root of 3138599814 is about 1464.1266584332.

The spelling of 3138599814 in words is "three billion, one hundred thirty-eight million, five hundred ninety-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 73 74 111 146 219 222 259 379 438 511 518 758 777 1022 1137 1533 1554 2274 2653 2701 3066 5306 5329 5402 7959 8103 10658 14023 15918 15987 16206 18907 27667 28046 31974 37303 37814 42069 55334 56721 74606 83001 84138 98161 111909 113442 166002 193669 196322 197173 223818 294483 387338 394346 581007 588966 591519 1023679 1162014 1183038 1380211 2019691 2047358 2760422 3071037 4039382 4140633 6059073 6142074 7165753 8281266 12118146 14137837 14331506 21497259 28275674 42413511 42994518 74728567 84827022 149457134 224185701 448371402 523099969 1046199938 1569299907 3138599814