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4110002988 = 223741310973
BaseRepresentation
bin1111010011111001…
…1010101100101100
3101121102200210011220
43310332122230230
531404130043423
61515455343340
7203564310000
oct36476325454
911542623156
104110002988
111819a98093
12968521b50
13506658240
142adbca700
15190c539e3
hexf4f9ab2c

4110002988 has 120 divisors (see below), whose sum is σ = 12049364208. Its totient is φ = 1083858048.

The previous prime is 4110002987. The next prime is 4110003017. The reversal of 4110002988 is 8892000114.

It is a super-2 number, since 2×41100029882 = 33784249122737856288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4110002987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 369070 + ... + 380042.

Almost surely, 24110002988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4110002988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024682104).

4110002988 is an abundant number, since it is smaller than the sum of its proper divisors (7939361220).

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

4110002988 is a wasteful number, since it uses less digits than its factorization.

4110002988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 4110002988 is about 64109.3050032521. The cubic root of 4110002988 is about 1601.8212318891.

The spelling of 4110002988 in words is "four billion, one hundred ten million, two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 2058 2401 2548 3822 4116 4459 4802 7203 7644 8918 9604 10973 13377 14406 17836 21946 26754 28812 31213 32919 43892 53508 62426 65838 76811 93639 124852 131676 142649 153622 187278 230433 285298 307244 374556 427947 460866 537677 570596 855894 921732 998543 1075354 1613031 1711788 1997086 2150708 2995629 3226062 3763739 3994172 5991258 6452124 6989801 7527478 11291217 11982516 13979602 15054956 20969403 22582434 26346173 27959204 41938806 45164868 48928607 52692346 79038519 83877612 97857214 105384692 146785821 158077038 195714428 293571642 316154076 342500249 587143284 685000498 1027500747 1370000996 2055001494 4110002988