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4023104004 = 2233193835119
BaseRepresentation
bin1110111111001011…
…1011001000000100
3101101101011212012000
43233302323020010
531214403312004
61503113025300
7201460551123
oct35762731004
911341155160
104023104004
111784a34647
129433b5230
134c165091a
142a2449aba
151882dac39
hexefcbb204

4023104004 has 96 divisors (see below), whose sum is σ = 11010048000. Its totient is φ = 1266889248.

The previous prime is 4023103991. The next prime is 4023104011. The reversal of 4023104004 is 4004013204.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 783357 + ... + 788475.

It is an arithmetic number, because the mean of its divisors is an integer number (114688000).

Almost surely, 24023104004 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 4023104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505024000).

4023104004 is an abundant number, since it is smaller than the sum of its proper divisors (6986943996).

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

4023104004 is a wasteful number, since it uses less digits than its factorization.

4023104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4023104004 is about 63427.9434003657. The cubic root of 4023104004 is about 1590.4514631135.

Adding to 4023104004 its reverse (4004013204), we get a palindrome (8027117208).

The spelling of 4023104004 in words is "four billion, twenty-three million, one hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 383 513 684 766 1026 1149 1532 2052 2298 3447 4596 5119 6894 7277 10238 10341 13788 14554 15357 20476 20682 21831 29108 30714 41364 43662 46071 61428 65493 87324 92142 97261 130986 138213 184284 194522 196479 261972 276426 291783 389044 392958 552852 583566 785916 875349 1167132 1750698 1960577 2626047 3501396 3921154 5252094 5881731 7842308 10504188 11763462 17645193 23526924 35290386 37250963 52935579 70580772 74501926 105871158 111752889 149003852 211742316 223505778 335258667 447011556 670517334 1005776001 1341034668 2011552002 4023104004