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14122415246640 = 2435499117922639
BaseRepresentation
bin1100110110000010000110…
…0010110100110100110000
31212000002102101210210210020
43031200201202310310300
53322340201300343030
650011425322403440
72655211420650261
oct315404142646460
955002371723706
1014122415246640
114555312266308
121701028360580
137b597963492c
1436b758482968
15197552e3c510
hexcd8218b4d30

14122415246640 has 80 divisors (see below), whose sum is σ = 43867222080000. Its totient is φ = 3758430318336.

The previous prime is 14122415246617. The next prime is 14122415246689. The reversal of 14122415246640 is 4664251422141.

It is a happy number.

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

It is a super-2 number, since 2×141224152466402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14122415246592 and 14122415246601.

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, 58841560 + ... + 59081079.

It is an arithmetic number, because the mean of its divisors is an integer number (548340276000).

Almost surely, 214122415246640 is an apocalyptic number.

14122415246640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122415246640 is an abundant number, since it is smaller than the sum of its proper divisors (29744806833360).

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

14122415246640 is a wasteful number, since it uses less digits than its factorization.

14122415246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117923154 (or 117923148 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

Adding to 14122415246640 its reverse (4664251422141), we get a palindrome (18786666668781).

The spelling of 14122415246640 in words is "fourteen trillion, one hundred twenty-two billion, four hundred fifteen million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 499 998 1497 1996 2495 2994 3992 4990 5988 7485 7984 9980 11976 14970 19960 23952 29940 39920 59880 119760 117922639 235845278 353767917 471690556 589613195 707535834 943381112 1179226390 1415071668 1768839585 1886762224 2358452780 2830143336 3537679170 4716905560 5660286672 7075358340 9433811120 14150716680 28301433360 58843396861 117686793722 176530190583 235373587444 294216984305 353060381166 470747174888 588433968610 706120762332 882650952915 941494349776 1176867937220 1412241524664 1765301905830 2353735874440 2824483049328 3530603811660 4707471748880 7061207623320 14122415246640