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424121430012 = 2237231125918481
BaseRepresentation
bin1100010101111111001…
…10110110111111111100
31111112201202021222100120
412022333212312333330
523422100041230022
6522501054054540
742433060446600
oct6127746667774
91445652258316
10424121430012
11153961543825
126a2454aa450
1330cc0b42457
14167559ab500
15b0743c3d5c
hex62bf9b6ffc

424121430012 has 144 divisors (see below), whose sum is σ = 1189330007040. Its totient is φ = 117169113600.

The previous prime is 424121429989. The next prime is 424121430077. The reversal of 424121430012 is 210034121424.

It is a congruent number.

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, 22939812 + ... + 22958292.

It is an arithmetic number, because the mean of its divisors is an integer number (8259236160).

Almost surely, 2424121430012 is an apocalyptic number.

424121430012 is a gapful number since it is divisible by the number (42) 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 424121430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594665003520).

424121430012 is an abundant number, since it is smaller than the sum of its proper divisors (765208577028).

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

424121430012 is a wasteful number, since it uses less digits than its factorization.

424121430012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19792 (or 19783 counting only the distinct ones).

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

Adding to 424121430012 its reverse (210034121424), we get a palindrome (634155551436).

The spelling of 424121430012 in words is "four hundred twenty-four billion, one hundred twenty-one million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1259 1302 1519 2518 2604 3038 3777 4557 5036 6076 7554 8813 9114 15108 17626 18228 18481 26439 35252 36962 39029 52878 55443 61691 73924 78058 105756 110886 117087 123382 129367 156116 185073 221772 234174 246764 258734 273203 370146 388101 468348 517468 546406 572911 740292 776202 819609 905569 1092812 1145822 1552404 1639218 1718733 1811138 1912421 2291644 2716707 3278436 3437466 3622276 3824842 4010377 5433414 5737263 6874932 7649684 8020754 10866828 11474526 12031131 16041508 22949052 23267579 24062262 28072639 46535158 48124524 56145278 69802737 84217917 93070316 112290556 139605474 162873053 168435834 279210948 325746106 336871668 488619159 651492212 721294949 977238318 1140111371 1442589898 1954476636 2163884847 2280222742 2885179796 3420334113 4327769694 4560445484 5049064643 6840668226 8655539388 10098129286 13681336452 15147193929 20196258572 30294387858 35343452501 60588775716 70686905002 106030357503 141373810004 212060715006 424121430012