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434102421400 = 235210331210097
BaseRepresentation
bin1100101000100101000…
…01010100011110011000
31112111111100021212120021
412110102201110132120
524103020204441100
6531231321240224
743235314462054
oct6242241243630
91474440255507
10434102421400
1115811355533a
1270170033074
1331c2190580b
14170213c2c64
15b45a779a1a
hex6512854798

434102421400 has 48 divisors (see below), whose sum is σ = 1009390629240. Its totient is φ = 173623334400.

The previous prime is 434102421391. The next prime is 434102421439. The reversal of 434102421400 is 4124201434.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961152 + ... + 2171248.

Almost surely, 2434102421400 is an apocalyptic number.

434102421400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434102421400 is an abundant number, since it is smaller than the sum of its proper divisors (575288207840).

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

434102421400 is a wasteful number, since it uses less digits than its factorization.

434102421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220444 (or 220435 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 434102421400 its reverse (4124201434), we get a palindrome (438226622834).

The spelling of 434102421400 in words is "four hundred thirty-four billion, one hundred two million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10331 20662 41324 51655 82648 103310 206620 210097 258275 413240 420194 516550 840388 1033100 1050485 1680776 2066200 2100970 4201940 5252425 8403880 10504850 21009700 42019400 2170512107 4341024214 8682048428 10852560535 17364096856 21705121070 43410242140 54262802675 86820484280 108525605350 217051210700 434102421400