Search a number
-
+
420233003331400 = 23527509589717939
BaseRepresentation
bin101111110001100110001111…
…0111000101110111101001000
32001002220212211112121020211101
41133203030132320232331020
5420040044142323101100
64045432213203111144
7154341555400416310
oct13743143670567510
92032825745536741
10420233003331400
111119988a7a24226
123b16bb7a6724b4
1315063a574c56cc
1475ab558c24440
15338b358a6386a
hex17e331ee2ef48

420233003331400 has 96 divisors (see below), whose sum is σ = 1118812875768000. Its totient is φ = 143796822001920.

The previous prime is 420233003331373. The next prime is 420233003331443. The reversal of 420233003331400 is 4133300332024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 294146370 + ... + 295571569.

It is an arithmetic number, because the mean of its divisors is an integer number (11654300789250).

Almost surely, 2420233003331400 is an apocalyptic number.

420233003331400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420233003331400 is an abundant number, since it is smaller than the sum of its proper divisors (698579872436600).

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

420233003331400 is a wasteful number, since it uses less digits than its factorization.

420233003331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589718471 (or 589718462 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 420233003331400 its reverse (4133300332024), we get a palindrome (424366303663424).

The spelling of 420233003331400 in words is "four hundred twenty trillion, two hundred thirty-three billion, three million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 509 700 1018 1400 2036 2545 3563 4072 5090 7126 10180 12725 14252 17815 20360 25450 28504 35630 50900 71260 89075 101800 142520 178150 356300 712600 589717939 1179435878 2358871756 2948589695 4128025573 4717743512 5897179390 8256051146 11794358780 14742948475 16512102292 20640127865 23588717560 29485896950 33024204584 41280255730 58971793900 82560511460 103200639325 117943587800 165121022920 206401278650 300166430951 412802557300 600332861902 825605114600 1200665723804 1500832154755 2101165016657 2401331447608 3001664309510 4202330033314 6003328619020 7504160773775 8404660066628 10505825083285 12006657238040 15008321547550 16809320133256 21011650166570 30016643095100 42023300333140 52529125416425 60033286190200 84046600666280 105058250832850 210116501665700 420233003331400