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424244444026480 = 245711151456098353
BaseRepresentation
bin110000001110110010001101…
…1011000100101011001110000
32001122010101001201222110222221
41200131210123120211121300
5421101310110132321410
64102143112415010424
7155234435545631530
oct14035443330453160
92048111051873887
10424244444026480
111131a50706943a0
123b6b94b9b09a14
13152951056080ac
1476a977d78d4c0
15340a88910e4da
hex181d91b625670

424244444026480 has 160 divisors (see below), whose sum is σ = 1237902015771648. Its totient is φ = 131356325376000.

The previous prime is 424244444026463. The next prime is 424244444026493. The reversal of 424244444026480 is 84620444442424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227119017 + ... + 228979336.

Almost surely, 2424244444026480 is an apocalyptic number.

424244444026480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424244444026480 is an abundant number, since it is smaller than the sum of its proper divisors (813657571745168).

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

424244444026480 is a wasteful number, since it uses less digits than its factorization.

424244444026480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456098535 (or 456098529 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 52.

It can be divided in two parts, 424244 and 444026480, that added together give a square (444450724 = 210822).

The spelling of 424244444026480 in words is "four hundred twenty-four trillion, two hundred forty-four billion, four hundred forty-four million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 151 154 176 220 280 302 308 385 440 560 604 616 755 770 880 1057 1208 1232 1510 1540 1661 2114 2416 3020 3080 3322 4228 5285 6040 6160 6644 8305 8456 10570 11627 12080 13288 16610 16912 21140 23254 26576 33220 42280 46508 58135 66440 84560 93016 116270 132880 186032 232540 465080 930160 456098353 912196706 1824393412 2280491765 3192688471 3648786824 4560983530 5017081883 6385376942 7297573648 9121967060 10034163766 12770753884 15963442355 18243934120 20068327532 25085409415 25541507768 31926884710 35119573181 36487868240 40136655064 50170818830 51083015536 63853769420 68870851303 70239146362 80273310128 100341637660 127707538840 137741702606 140478292724 175597865905 200683275320 255415077680 275483405212 280956585448 344354256515 351195731810 401366550640 482095959121 550966810424 561913170896 688708513030 702391463620 757579364333 964191918242 1101933620848 1377417026060 1404782927240 1515158728666 1928383836484 2410479795605 2754834052120 2809565854480 3030317457332 3787896821665 3856767672968 4820959591210 5303055550331 5509668104240 6060634914664 7575793643330 7713535345936 9641919182420 10606111100662 12121269829328 15151587286660 19283838364840 21212222201324 26515277751655 30303174573320 38567676729680 42424444402648 53030555503310 60606349146640 84848888805296 106061111006620 212122222013240 424244444026480