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14300414412240 = 2435115416823641
BaseRepresentation
bin1101000000011001001100…
…0111110000010111010000
31212122002212110122022020010
43100012103013300113100
53333244222042142430
650225304130314520
73004112412622035
oct320062307602720
955562773568203
1014300414412240
114613854140a40
12172b623a28a40
137c96a589c0a8
1437620264738c
1519bebeb6acb0
hexd01931f05d0

14300414412240 has 80 divisors (see below), whose sum is σ = 48361401475776. Its totient is φ = 3466767129600.

The previous prime is 14300414412233. The next prime is 14300414412283. The reversal of 14300414412240 is 4221441400341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 14300414412198 and 14300414412207.

It is a congruent number.

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, 2708409181 + ... + 2708414460.

Almost surely, 214300414412240 is an apocalyptic number.

14300414412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300414412240 is an abundant number, since it is smaller than the sum of its proper divisors (34060987063536).

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

14300414412240 is a wasteful number, since it uses less digits than its factorization.

14300414412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416823668 (or 5416823662 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14300414412240 its reverse (4221441400341), we get a palindrome (18521855812581).

The spelling of 14300414412240 in words is "fourteen trillion, three hundred billion, four hundred fourteen million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5416823641 10833647282 16250470923 21667294564 27084118205 32500941846 43334589128 54168236410 59585060051 65001883692 81252354615 86669178256 108336472820 119170120102 130003767384 162504709230 178755180153 216672945640 238340240204 260007534768 297925300255 325009418460 357510360306 433345891280 476680480408 595850600510 650018836920 715020720612 893775900765 953360960816 1191701201020 1300037673840 1430041441224 1787551801530 2383402402040 2860082882448 3575103603060 4766804804080 7150207206120 14300414412240