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1214142132 = 223773389509
BaseRepresentation
bin100100001011110…
…0101011010110100
310010121121210220010
41020113211122310
54441310022012
6320251140220
742042015660
oct11027453264
93117553803
101214142132
11573395a55
1229a744670
131647064c8
14b73718a0
15718d0c3c
hex485e56b4

1214142132 has 96 divisors (see below), whose sum is σ = 3296966400. Its totient is φ = 340595712.

The previous prime is 1214142119. The next prime is 1214142133. The reversal of 1214142132 is 2312414121.

It is a super-2 number, since 2×12141421322 = 2948282233395010848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1214142099 and 1214142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214142133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385094 + ... + 2385602.

It is an arithmetic number, because the mean of its divisors is an integer number (34343400).

Almost surely, 21214142132 is an apocalyptic number.

1214142132 is a gapful number since it is divisible by the number (12) 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 1214142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648483200).

1214142132 is an abundant number, since it is smaller than the sum of its proper divisors (2082824268).

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

1214142132 is a wasteful number, since it uses less digits than its factorization.

1214142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1214142132 is about 34844.5423560132. The cubic root of 1214142132 is about 1066.8167927153.

Adding to 1214142132 its reverse (2312414121), we get a palindrome (3526556253).

The spelling of 1214142132 in words is "one billion, two hundred fourteen million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 389 438 509 511 778 876 1018 1022 1167 1527 1533 1556 2036 2044 2334 2723 3054 3066 3563 4668 5446 6108 6132 7126 8169 10689 10892 14252 16338 21378 28397 32676 37157 42756 56794 74314 85191 111471 113588 148628 170382 198001 198779 222942 260099 340764 396002 397558 445884 520198 594003 596337 780297 792004 795116 1040396 1188006 1192674 1386007 1560594 2376012 2385348 2772014 3121188 4158021 5544028 8316042 14454073 16632084 28908146 43362219 57816292 86724438 101178511 173448876 202357022 303535533 404714044 607071066 1214142132