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2315244505140 = 223257337499911
BaseRepresentation
bin100001101100001111010…
…100111000100000110100
322012100001100222222101200
4201230033110320200310
5300413110043131030
64531335244452500
7326161626405000
oct41541724704064
98170040888350
102315244505140
1181298718a466
1231486284a130
1313a432779608
14800b64a1700
1540358b9bd60
hex21b0f538834

2315244505140 has 144 divisors (see below), whose sum is σ = 8189980780800. Its totient is φ = 529198729920.

The previous prime is 2315244505129. The next prime is 2315244505153. The reversal of 2315244505140 is 415054425132.

2315244505140 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 2 + 4 + 4 + 505 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2315244505095 and 2315244505104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18688216 + ... + 18811695.

Almost surely, 22315244505140 is an apocalyptic number.

2315244505140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315244505140 is an abundant number, since it is smaller than the sum of its proper divisors (5874736275660).

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

2315244505140 is a wasteful number, since it uses less digits than its factorization.

2315244505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37499947 (or 37499928 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2315244505140 in words is "two trillion, three hundred fifteen billion, two hundred forty-four million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 37499911 74999822 112499733 149999644 187499555 224999466 262499377 337499199 374999110 449998932 524998754 562498665 674998398 749998220 787498131 1049997508 1124997330 1312496885 1349996796 1574996262 1687495995 1837495639 2249994660 2362494393 2624993770 3149992524 3374991990 3674991278 3937490655 4724988786 5249987540 5512486917 6749983980 7349982556 7874981310 9187478195 9449977572 11024973834 11812471965 12862469473 15749962620 16537460751 18374956390 22049947668 23624943930 25724938946 27562434585 33074921502 36749912780 38587408419 47249887860 51449877892 55124869170 64312347365 66149843004 77174816838 82687303755 110249738340 115762225257 128624694730 154349633676 165374607510 192937042095 231524450514 257249389460 330749215020 385874084190 463048901028 578811126285 771748168380 1157622252570 2315244505140