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14422506240 = 283517220933
BaseRepresentation
bin11010110111010010…
…11111101100000000
31101020010111020011210
431123221133230000
5214014130144430
610343044210120
71020255165102
oct153351375400
941203436153
1014422506240
11613114644a
122966099940
13148b00057c
149ab659572
155962902b0
hex35ba5fb00

14422506240 has 144 divisors (see below), whose sum is σ = 48771622368. Its totient is φ = 3619749888.

The previous prime is 14422506221. The next prime is 14422506277. The reversal of 14422506240 is 4260522441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14422506198 and 14422506207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45187 + ... + 175746.

It is an arithmetic number, because the mean of its divisors is an integer number (338691822).

Almost surely, 214422506240 is an apocalyptic number.

14422506240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14422506240 is an abundant number, since it is smaller than the sum of its proper divisors (34349116128).

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

14422506240 is a wasteful number, since it uses less digits than its factorization.

14422506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220974 (or 220960 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 14422506240 in words is "fourteen billion, four hundred twenty-two million, five hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 32640 65280 220933 441866 662799 883732 1104665 1325598 1767464 2209330 2651196 3313995 3534928 3755861 4418660 5302392 6627990 7069856 7511722 8837320 10604784 11267583 13255980 14139712 15023444 17674640 18779305 21209568 22535166 26511960 28279424 30046888 35349280 37558610 42419136 45070332 53023920 56337915 56558848 60093776 70698560 75117220 84838272 90140664 106047840 112675830 120187552 141397120 150234440 169676544 180281328 212095680 225351660 240375104 282794240 300468880 360562656 424191360 450703320 480750208 600937760 721125312 848382720 901406640 961500416 1201875520 1442250624 1802813280 2403751040 2884501248 3605626560 4807502080 7211253120 14422506240