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4004045130 = 2351318291229
BaseRepresentation
bin1110111010101000…
…1110000101001010
3101100001022120022210
43232222032011022
531200013421010
61501152325550
7201136551651
oct35652160512
911301276283
104004045130
1117751a7408
12938b438b6
134ba709997
1429dac8198
151867c3b20
hexeea8e14a

4004045130 has 64 divisors (see below), whose sum is σ = 9702633600. Its totient is φ = 1057455360.

The previous prime is 4004045107. The next prime is 4004045179. The reversal of 4004045130 is 315404004.

4004045130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4004045097 and 4004045106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3257356 + ... + 3258584.

It is an arithmetic number, because the mean of its divisors is an integer number (151603650).

Almost surely, 24004045130 is an apocalyptic number.

4004045130 is an abundant number, since it is smaller than the sum of its proper divisors (5698588470).

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

4004045130 is a wasteful number, since it uses less digits than its factorization.

4004045130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4004045130 is about 63277.5246829394. The cubic root of 4004045130 is about 1587.9359753239.

Adding to 4004045130 its reverse (315404004), we get a palindrome (4319449134).

The spelling of 4004045130 in words is "four billion, four million, forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 131 262 393 655 786 829 1229 1310 1658 1965 2458 2487 3687 3930 4145 4974 6145 7374 8290 12290 12435 18435 24870 36870 108599 160999 217198 321998 325797 482997 542995 651594 804995 965994 1018841 1085990 1609990 1628985 2037682 2414985 3056523 3257970 4829970 5094205 6113046 10188410 15282615 30565230 133468171 266936342 400404513 667340855 800809026 1334681710 2002022565 4004045130