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425304335420400 = 24352477540857011
BaseRepresentation
bin110000010110011111110000…
…1110101011000101111110000
32001202212200211101121221200210
41200230333201311120233300
5421221141234331423100
64104314040413544120
7155404136624060502
oct14054774165305760
92052780741557623
10425304335420400
11113573612757a57
123b84a9b54a5040
1315341046996057
147704ba8097d72
15342821d7c3c50
hex182cfe1d58bf0

425304335420400 has 120 divisors (see below), whose sum is σ = 1391378608998144. Its totient is φ = 111001415187200.

The previous prime is 425304335420383. The next prime is 425304335420467. The reversal of 425304335420400 is 4024533403524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4253043354204002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3770372106 + ... + 3770484905.

Almost surely, 2425304335420400 is an apocalyptic number.

425304335420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425304335420400 is an abundant number, since it is smaller than the sum of its proper divisors (966074273577744).

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

425304335420400 is a wasteful number, since it uses less digits than its factorization.

425304335420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540857079 (or 7540857068 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 425304335420400 its reverse (4024533403524), we get a palindrome (429328868823924).

The spelling of 425304335420400 in words is "four hundred twenty-five trillion, three hundred four billion, three hundred thirty-five million, four hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 7540857011 15081714022 22622571033 30163428044 37704285055 45245142066 60326856088 75408570110 90490284132 113112855165 120653712176 150817140220 180980568264 188521425275 226225710330 301634280440 354420279517 361961136528 377042850550 452451420660 565564275825 603268560880 708840559034 754085701100 904902841320 1063260838551 1131128551650 1417681118068 1508171402200 1772101397585 1809805682640 2126521677102 2262257103300 2835362236136 3016342804400 3544202795170 4253043354204 4524514206600 5316304192755 5670724472272 7088405590340 8506086708408 8860506987925 9049028413200 10632608385510 14176811180680 17012173416816 17721013975850 21265216771020 26581520963775 28353622361360 35442027951700 42530433542040 53163041927550 70884055903400 85060867084080 106326083855100 141768111806800 212652167710200 425304335420400