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303134242432 = 2771392433953
BaseRepresentation
bin1000110100101000011…
…01010111011010000000
31001222102221120001002011
410122110031113122000
514431304331224212
6351131414502304
730620643355360
oct4322415273200
91058387501064
10303134242432
11107616416aaa
124a8bb064994
132277c285928
14109594d09a0
157d4291d4a7
hex4694357680

303134242432 has 64 divisors (see below), whose sum is σ = 695137262400. Its totient is φ = 128979984384.

The previous prime is 303134242429. The next prime is 303134242441. The reversal of 303134242432 is 234242431303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 303134242394 and 303134242403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1092433 + ... + 1341520.

It is an arithmetic number, because the mean of its divisors is an integer number (10861519725).

Almost surely, 2303134242432 is an apocalyptic number.

303134242432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

303134242432 is an abundant number, since it is smaller than the sum of its proper divisors (392003019968).

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

303134242432 is a wasteful number, since it uses less digits than its factorization.

303134242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434113 (or 2434101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 303134242432 its reverse (234242431303), we get a palindrome (537376673735).

The spelling of 303134242432 in words is "three hundred three billion, one hundred thirty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 448 556 896 973 1112 1946 2224 3892 4448 7784 8896 15568 17792 31136 62272 124544 2433953 4867906 9735812 17037671 19471624 34075342 38943248 68150684 77886496 136301368 155772992 272602736 311545984 338319467 545205472 676638934 1090410944 1353277868 2180821888 2368236269 2706555736 4736472538 5413111472 9472945076 10826222944 18945890152 21652445888 37891780304 43304891776 75783560608 151567121216 303134242432