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3114425790 = 2325723719087
BaseRepresentation
bin1011100110100010…
…0101110110111110
322001001100020000100
42321220211312332
522334243111130
61233012541530
7140115116400
oct27150456676
98031306010
103114425790
111359015213
1272b0218a6
133a83091c8
142178b0b70
15133647c60
hexb9a25dbe

3114425790 has 144 divisors (see below), whose sum is σ = 9674638272. Its totient is φ = 692592768.

The previous prime is 3114425777. The next prime is 3114425893. The reversal of 3114425790 is 975244113.

3114425790 is a `hidden beast` number, since 31 + 14 + 42 + 579 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 153627 + ... + 172713.

It is an arithmetic number, because the mean of its divisors is an integer number (67184988).

Almost surely, 23114425790 is an apocalyptic number.

3114425790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114425790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837319136).

3114425790 is an abundant number, since it is smaller than the sum of its proper divisors (6560212482).

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

3114425790 is a wasteful number, since it uses less digits than its factorization.

3114425790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19151 (or 19141 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3114425790 is about 55807.0406848455. The cubic root of 3114425790 is about 1460.3579828376.

The spelling of 3114425790 in words is "three billion, one hundred fourteen million, four hundred twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 49 63 70 74 90 98 105 111 126 147 185 210 222 245 259 294 315 333 370 441 490 518 555 630 666 735 777 882 1110 1295 1470 1554 1665 1813 2205 2331 2590 3330 3626 3885 4410 4662 5439 7770 9065 10878 11655 16317 18130 19087 23310 27195 32634 38174 54390 57261 81585 95435 114522 133609 163170 171783 190870 267218 286305 343566 400827 572610 668045 706219 801654 858915 935263 1202481 1336090 1412438 1717830 1870526 2004135 2118657 2404962 2805789 3531095 4008270 4237314 4676315 4943533 5611578 6012405 6355971 7062190 8417367 9352630 9887066 10593285 12024810 12711942 14028945 14830599 16834734 21186570 24717665 28057890 29661198 31779855 34604731 42086835 44491797 49435330 63559710 69209462 74152995 84173670 88983594 103814193 148305990 173023655 207628386 222458985 311442579 346047310 444917970 519070965 622885158 1038141930 1557212895 3114425790