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14245240100 = 22527131792083
BaseRepresentation
bin11010100010001010…
…10001110100100100
31100202202221011202012
431101011101310210
5213133240140400
610313312533352
71013003354150
oct152105216444
940682834665
1014245240100
116050080803
122916851258
131460375b70
14991cb4060
15585926d35
hex351151d24

14245240100 has 144 divisors (see below), whose sum is σ = 40284171648. Its totient is φ = 4243138560.

The previous prime is 14245240099. The next prime is 14245240153. The reversal of 14245240100 is 104254241.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108659 + ... + 200741.

It is an arithmetic number, because the mean of its divisors is an integer number (279751192).

Almost surely, 214245240100 is an apocalyptic number.

14245240100 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 14245240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20142085824).

14245240100 is an abundant number, since it is smaller than the sum of its proper divisors (26038931548).

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

14245240100 is a wasteful number, since it uses less digits than its factorization.

14245240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92134 (or 92127 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 14245240100 its reverse (104254241), we get a palindrome (14349494341).

The spelling of 14245240100 in words is "fourteen billion, two hundred forty-five million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 85 91 100 119 130 140 170 175 182 221 238 260 325 340 350 364 425 442 455 476 595 650 700 850 884 910 1105 1190 1300 1547 1700 1820 2210 2275 2380 2975 3094 4420 4550 5525 5950 6188 7735 9100 11050 11900 15470 22100 30940 38675 77350 92083 154700 184166 368332 460415 644581 920830 1197079 1289162 1565411 1841660 2302075 2394158 2578324 3130822 3222905 4604150 4788316 5985395 6261644 6445810 7827055 8379553 9208300 10957877 11970790 12891620 15654110 16114525 16759106 20350343 21915754 23941580 29926975 31308220 32229050 33518212 39135275 40700686 41897765 43831508 54789385 59853950 64458100 78270550 81401372 83795530 101751715 109578770 119707900 142452401 156541100 167591060 203503430 209488825 219157540 273946925 284904802 407006860 418977650 508758575 547893850 569809604 712262005 837955300 1017517150 1095787700 1424524010 2035034300 2849048020 3561310025 7122620050 14245240100