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420428409720 = 2335111572028703
BaseRepresentation
bin1100001111000110111…
…11000110101101111000
31111012012101020002220020
412013203133012231320
523342014133102340
6521050411530440
742242415342564
oct6074337065570
91435171202806
10420428409720
11152336970a40
1269594759a20
13308529c3747
14164c53266a4
15ae0a08a9d0
hex61e37c6b78

420428409720 has 128 divisors (see below), whose sum is σ = 1384712202240. Its totient is φ = 101272803840.

The previous prime is 420428409719. The next prime is 420428409727. The reversal of 420428409720 is 27904824024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420428409727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807112 + ... + 1221591.

It is an arithmetic number, because the mean of its divisors is an integer number (10818064080).

Almost surely, 2420428409720 is an apocalyptic number.

420428409720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420428409720 is an abundant number, since it is smaller than the sum of its proper divisors (964283792520).

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

420428409720 is a wasteful number, since it uses less digits than its factorization.

420428409720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028885 (or 2028881 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 420428409720 in words is "four hundred twenty billion, four hundred twenty-eight million, four hundred nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 157 165 220 264 314 330 440 471 628 660 785 942 1256 1320 1570 1727 1884 2355 3140 3454 3768 4710 5181 6280 6908 8635 9420 10362 13816 17270 18840 20724 25905 34540 41448 51810 69080 103620 207240 2028703 4057406 6086109 8114812 10143515 12172218 16229624 20287030 22315733 24344436 30430545 40574060 44631466 48688872 60861090 66947199 81148120 89262932 111578665 121722180 133894398 178525864 223157330 243444360 267788796 318506371 334735995 446314660 535577592 637012742 669471990 892629320 955519113 1274025484 1338943980 1592531855 1911038226 2548050968 2677887960 3185063710 3503570081 3822076452 4777595565 6370127420 7007140162 7644152904 9555191130 10510710243 12740254840 14014280324 17517850405 19110382260 21021420486 28028560648 35035700810 38220764520 42042840972 52553551215 70071401620 84085681944 105107102430 140142803240 210214204860 420428409720