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1434120000 = 26354171937
BaseRepresentation
bin101010101111010…
…1110111101000000
310200221112211210120
41111132232331000
510414113320000
6354150100240
750352550605
oct12536567500
93627484716
101434120000
11676583645
1234034a680
1319b166b21
14d86746ac
1585d846a0
hex557aef40

1434120000 has 560 divisors, whose sum is σ = 5427512640. Its totient is φ = 331776000.

The previous prime is 1434119971. The next prime is 1434120001. The reversal of 1434120000 is 214341.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38759982 + ... + 38760018.

Almost surely, 21434120000 is an apocalyptic number.

1434120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713756320).

1434120000 is an abundant number, since it is smaller than the sum of its proper divisors (3993392640).

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

1434120000 is a wasteful number, since it uses less digits than its factorization.

1434120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1434120000 is about 37869.7768675761. The cubic root of 1434120000 is about 1127.7041123220.

Adding to 1434120000 its reverse (214341), we get a palindrome (1434334341).

The spelling of 1434120000 in words is "one billion, four hundred thirty-four million, one hundred twenty thousand".