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4094595144 = 2333294391489
BaseRepresentation
bin1111010000001110…
…1001000001001000
3101120100200222121000
43310003221001020
531341204021034
61514145215000
7203316325113
oct36403510110
911510628530
104094595144
111811323a32
12963331460
135033c2083
142abb3957a
1518e70d599
hexf40e9048

4094595144 has 128 divisors (see below), whose sum is σ = 11800800000. Its totient is φ = 1313915904.

The previous prime is 4094595139. The next prime is 4094595151. The reversal of 4094595144 is 4415954904.

4094595144 is a `hidden beast` number, since 40 + 9 + 4 + 595 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4094595144.

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, 2749152 + ... + 2750640.

It is an arithmetic number, because the mean of its divisors is an integer number (92193750).

Almost surely, 24094595144 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 4094595144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900400000).

4094595144 is an abundant number, since it is smaller than the sum of its proper divisors (7706204856).

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

4094595144 is a wasteful number, since it uses less digits than its factorization.

4094595144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4094595144 is about 63989.0236212430. The cubic root of 4094595144 is about 1599.8170551244.

The spelling of 4094595144 in words is "four billion, ninety-four million, five hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 439 522 696 783 878 1044 1317 1489 1566 1756 2088 2634 2978 3132 3512 3951 4467 5268 5956 6264 7902 8934 10536 11853 11912 12731 13401 15804 17868 23706 25462 26802 31608 35736 38193 40203 43181 47412 50924 53604 76386 80406 86362 94824 101848 107208 114579 129543 152772 160812 172724 229158 259086 305544 321624 343737 345448 388629 458316 518172 653671 687474 777258 916632 1036344 1165887 1307342 1374948 1554516 1961013 2331774 2614684 2749896 3109032 3922026 4663548 5229368 5883039 7844052 9327096 11766078 15688104 17649117 18956459 23532156 35298234 37912918 47064312 56869377 70596468 75825836 113738754 141192936 151651672 170608131 227477508 341216262 454955016 511824393 682432524 1023648786 1364865048 2047297572 4094595144