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390238933140 = 223357214748259
BaseRepresentation
bin1011010110111000000…
…11011001000010010100
31101022021102101210112000
411223130003121002110
522343202131330030
6455135010355300
740123325126100
oct5533403310224
91338242353460
10390238933140
111405547823a1
126376a28bb30
132aa512ba234
1414c5da78900
15a23e9d5860
hex5adc0d9094

390238933140 has 144 divisors (see below), whose sum is σ = 1412293377600. Its totient is φ = 89197464384.

The previous prime is 390238933127. The next prime is 390238933157. The reversal of 390238933140 is 41339832093.

390238933140 is a `hidden beast` number, since 390 + 2 + 38 + 93 + 3 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7347670 + ... + 7400589.

It is an arithmetic number, because the mean of its divisors is an integer number (9807592900).

Almost surely, 2390238933140 is an apocalyptic number.

390238933140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390238933140 is an abundant number, since it is smaller than the sum of its proper divisors (1022054444460).

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

390238933140 is a wasteful number, since it uses less digits than its factorization.

390238933140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748291 (or 14748276 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 390238933140 in words is "three hundred ninety billion, two hundred thirty-eight million, nine hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 14748259 29496518 44244777 58993036 73741295 88489554 103237813 132734331 147482590 176979108 206475626 221223885 265468662 294965180 309713439 398202993 412951252 442447770 516189065 530937324 619426878 663671655 722664691 796405986 884895540 929140317 1032378130 1238853756 1327343310 1445329382 1548567195 1592811972 1858280634 1991014965 2064756260 2167994073 2654686620 2787420951 2890658764 3097134390 3613323455 3716561268 3982029930 4335988146 4645701585 5574841902 6194268780 6503982219 7226646910 7964059860 8671976292 9291403170 10839970365 11149683804 13007964438 13937104755 14453293820 18582806340 19511946657 21679940730 26015928876 27874209510 32519911095 39023893314 43359881460 55748419020 65039822190 78047786628 97559733285 130079644380 195119466570 390238933140