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4314160080 = 2432547127487
BaseRepresentation
bin1000000010010010…
…01101101111010000
3102010122212001001200
410001021031233100
532313411110310
61552031231200
7211623520116
oct40111155720
912118761050
104314160080
11191425a35a
12a04978500
13539a39759
142ccd71ab6
151a3b2e9c0
hex10124dbd0

4314160080 has 120 divisors (see below), whose sum is σ = 14796767232. Its totient is φ = 1125956352.

The previous prime is 4314160079. The next prime is 4314160133. The reversal of 4314160080 is 800614134.

4314160080 is a `hidden beast` number, since 43 + 14 + 1 + 600 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×43141600802 = 37223954391731212800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29904 + ... + 97583.

Almost surely, 24314160080 is an apocalyptic number.

4314160080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314160080 is an abundant number, since it is smaller than the sum of its proper divisors (10482607152).

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

4314160080 is a wasteful number, since it uses less digits than its factorization.

4314160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127553 (or 127544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4314160080 is about 65682.2660997624. The cubic root of 4314160080 is about 1627.9163509673.

The spelling of 4314160080 in words is "four billion, three hundred fourteen million, one hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 127487 254974 382461 509948 637435 764922 1019896 1147383 1274870 1529844 1912305 2039792 2294766 2549740 3059688 3824610 4589532 5099480 5736915 5991889 6119376 7649220 9179064 10198960 11473830 11983778 15298440 17975667 18358128 22947660 23967556 29959445 30596880 35951334 45895320 47935112 53927001 59918890 71902668 89878335 91790640 95870224 107854002 119837780 143805336 179756670 215708004 239675560 269635005 287610672 359513340 431416008 479351120 539270010 719026680 862832016 1078540020 1438053360 2157080040 4314160080