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14063620642240 = 265138813837319
BaseRepresentation
bin1100110010100111000100…
…0111001101010111000000
31211210110122220101102221111
43030221301013031113000
53320404243341022430
645524423234133104
72651030426032411
oct314516107152700
954713586342844
1014063620642240
11453239123a864
1216b175a121194
137b026983aaa0
1436897bb25808
15195c6143dc2a
hexcca711cd5c0

14063620642240 has 112 divisors (see below), whose sum is σ = 36106019248320. Its totient is φ = 5186825994240.

The previous prime is 14063620642213. The next prime is 14063620642271. The reversal of 14063620642240 is 4224602636041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14063620642193 and 14063620642202.

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, 1746301 + ... + 5583619.

It is an arithmetic number, because the mean of its divisors is an integer number (322375171860).

Almost surely, 214063620642240 is an apocalyptic number.

14063620642240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14063620642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053009624160).

14063620642240 is an abundant number, since it is smaller than the sum of its proper divisors (22042398606080).

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

14063620642240 is a wasteful number, since it uses less digits than its factorization.

14063620642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838230 (or 3838220 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 14063620642240 in words is "fourteen trillion, sixty-three billion, six hundred twenty million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 881 1040 1762 2080 3524 4160 4405 7048 8810 11453 14096 17620 22906 28192 35240 45812 56384 57265 70480 91624 114530 140960 183248 229060 281920 366496 458120 732992 916240 1832480 3664960 3837319 7674638 15349276 19186595 30698552 38373190 49885147 61397104 76746380 99770294 122794208 153492760 199540588 245588416 249425735 306985520 399081176 498851470 613971040 798162352 997702940 1227942080 1596324704 1995405880 3192649408 3380678039 3990811760 6761356078 7981623520 13522712156 15963247040 16903390195 27045424312 33806780390 43948814507 54090848624 67613560780 87897629014 108181697248 135227121560 175795258028 216363394496 219744072535 270454243120 351590516056 439488145070 540908486240 703181032112 878976290140 1081816972480 1406362064224 1757952580280 2812724128448 3515905160560 7031810321120 14063620642240