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14012234120040 = 23351359152240701
BaseRepresentation
bin1100101111100111101000…
…1111001011101101101000
31211121120000200120122102120
43023321322033023231220
53314034023413320130
645445044222431240
72644231136560032
oct313717217135550
954546020518376
1014012234120040
1145126119540a2
1216a37b8a32520
137a846a75b130
143662a51d0c52
15194754eb7910
hexcbe7a3cbb68

14012234120040 has 128 divisors (see below), whose sum is σ = 46037588284800. Its totient is φ = 3390704870400.

The previous prime is 14012234120039. The next prime is 14012234120057. The reversal of 14012234120040 is 4002143221041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76028311 + ... + 76212390.

It is an arithmetic number, because the mean of its divisors is an integer number (359668658475).

Almost surely, 214012234120040 is an apocalyptic number.

14012234120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012234120040 is an abundant number, since it is smaller than the sum of its proper divisors (32025354164760).

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

14012234120040 is a wasteful number, since it uses less digits than its factorization.

14012234120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152240787 (or 152240783 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14012234120040 its reverse (4002143221041), we get a palindrome (18014377341081).

The spelling of 14012234120040 in words is "fourteen trillion, twelve billion, two hundred thirty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1770 2301 2360 3068 3540 3835 4602 6136 7080 7670 9204 11505 15340 18408 23010 30680 46020 92040 152240701 304481402 456722103 608962804 761203505 913444206 1217925608 1522407010 1826888412 1979129113 2283610515 3044814020 3653776824 3958258226 4567221030 5937387339 6089628040 7916516452 8982201359 9134442060 9895645565 11874774678 15833032904 17964402718 18268884120 19791291130 23749549356 26946604077 29686936695 35928805436 39582582260 44911006795 47499098712 53893208154 59373873390 71857610872 79165164520 89822013590 107786416308 116768617667 118747746780 134733020385 179644027180 215572832616 233537235334 237495493560 269466040770 350305853001 359288054360 467074470668 538932081540 583843088335 700611706002 934148941336 1077864163080 1167686176670 1401223412004 1751529265005 2335372353340 2802446824008 3503058530010 4670744706680 7006117060020 14012234120040