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1253442414 = 237372233617
BaseRepresentation
bin100101010110110…
…0000001101101110
310020100120110202010
41022231200031232
510031340124124
6324213342050
743030041030
oct11255401556
93210513663
101253442414
11593598924
122ab937926
1316c8b6703
14bc681c50
1575095529
hex4ab6036e

1253442414 has 64 divisors (see below), whose sum is σ = 2956455936. Its totient is φ = 346788864.

The previous prime is 1253442403. The next prime is 1253442467. The reversal of 1253442414 is 4142443521.

It is a super-2 number, since 2×12534424142 = 3142235770428294792, which 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 31 ways as a sum of consecutive naturals, for example, 344734 + ... + 348350.

It is an arithmetic number, because the mean of its divisors is an integer number (46194624).

Almost surely, 21253442414 is an apocalyptic number.

1253442414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253442414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478227968).

1253442414 is an abundant number, since it is smaller than the sum of its proper divisors (1703013522).

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

1253442414 is a wasteful number, since it uses less digits than its factorization.

1253442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889.

The product of its digits is 15360, while the sum is 30.

The square root of 1253442414 is about 35403.9886735944. The cubic root of 1253442414 is about 1078.2052994692.

Adding to 1253442414 its reverse (4142443521), we get a palindrome (5395885935).

The spelling of 1253442414 in words is "one billion, two hundred fifty-three million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 223 259 446 518 669 777 1338 1554 1561 3122 3617 4683 7234 8251 9366 10851 16502 21702 24753 25319 49506 50638 57757 75957 115514 133829 151914 173271 267658 346542 401487 802974 806591 936803 1613182 1873606 2419773 2810409 4839546 5620818 5646137 11292274 16938411 29843867 33876822 59687734 89531601 179063202 208907069 417814138 626721207 1253442414