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6142643880 = 2335616471297
BaseRepresentation
bin1011011100010000…
…10100111010101000
3120212002110122021220
411232020110322220
5100040004101010
62453310102040
7305135416512
oct55610247250
916762418256
106142643880
1126723a929a
1212351aa920
1376b7c0629
14423b40bb2
1525e412970
hex16e214ea8

6142643880 has 128 divisors (see below), whose sum is σ = 18773441280. Its totient is φ = 1607454720.

The previous prime is 6142643807. The next prime is 6142643887. The reversal of 6142643880 is 883462416.

It is not an unprimeable number, because it can be changed into a prime (6142643887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4735392 + ... + 4736688.

It is an arithmetic number, because the mean of its divisors is an integer number (146667510).

Almost surely, 26142643880 is an apocalyptic number.

6142643880 is a gapful number since it is divisible by the number (60) 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 6142643880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386720640).

6142643880 is an abundant number, since it is smaller than the sum of its proper divisors (12630797400).

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

6142643880 is a wasteful number, since it uses less digits than its factorization.

6142643880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 6142643880 is about 78375.0207655475. The cubic root of 6142643880 is about 1831.4080238399.

The spelling of 6142643880 in words is "six billion, one hundred forty-two million, six hundred forty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 647 732 915 1220 1294 1297 1464 1830 1941 2440 2588 2594 3235 3660 3882 3891 5176 5188 6470 6485 7320 7764 7782 9705 10376 12940 12970 15528 15564 19410 19455 25880 25940 31128 38820 38910 39467 51880 77640 77820 78934 79117 118401 155640 157868 158234 197335 236802 237351 315736 316468 394670 395585 473604 474702 592005 632936 789340 791170 839159 947208 949404 1184010 1186755 1578680 1582340 1678318 1898808 2368020 2373510 2517477 3164680 3356636 4195795 4736040 4747020 5034954 6713272 8391590 9494040 10069908 12587385 16783180 20139816 25174770 33566360 50349540 51188699 100699080 102377398 153566097 204754796 255943495 307132194 409509592 511886990 614264388 767830485 1023773980 1228528776 1535660970 2047547960 3071321940 6142643880