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1004041230304 = 25731157920963
BaseRepresentation
bin11101001110001011000…
…01010101011111100000
310112222121100201012021111
432213011201111133200
5112422234023332204
62045130012033104
7132353035433410
oct16470541253740
93488540635244
101004041230304
113578a2110052
1214270b462794
13738b05c4a88
143684b050640
151b1b6432d04
hexe9c58557e0

1004041230304 has 96 divisors (see below), whose sum is σ = 2346822567936. Its totient is φ = 413769807360.

The previous prime is 1004041230277. The next prime is 1004041230323. The reversal of 1004041230304 is 4030321404001.

1004041230304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629727 + ... + 1550689.

It is an arithmetic number, because the mean of its divisors is an integer number (24446068416).

Almost surely, 21004041230304 is an apocalyptic number.

1004041230304 is a gapful number since it is divisible by the number (14) 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 1004041230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173411283968).

1004041230304 is an abundant number, since it is smaller than the sum of its proper divisors (1342781337632).

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

1004041230304 is a wasteful number, since it uses less digits than its factorization.

1004041230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921168 (or 921160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004041230304 its reverse (4030321404001), we get a palindrome (5034362634305).

The spelling of 1004041230304 in words is "one trillion, four billion, forty-one million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 157 217 224 248 314 434 496 628 868 992 1099 1256 1736 2198 2512 3472 4396 4867 5024 6944 8792 9734 17584 19468 34069 35168 38936 68138 77872 136276 155744 272552 545104 920963 1090208 1841926 3683852 6446741 7367704 12893482 14735408 25786964 28549853 29470816 51573928 57099706 103147856 114199412 144591191 199848971 206295712 228398824 289182382 399697942 456797648 578364764 799395884 913595296 1012138337 1156729528 1598791768 2024276674 2313459056 3197583536 4048553348 4482326921 4626918112 6395167072 8097106696 8964653842 16194213392 17929307684 31376288447 32388426784 35858615368 62752576894 71717230736 125505153788 143434461472 251010307576 502020615152 1004041230304