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142334412 = 2231137151193
BaseRepresentation
bin10000111101111…
…01100111001100
3100220211100002220
420132331213030
5242414200122
622042415340
73345552063
oct1036754714
9326740086
10142334412
1173386a50
123b801550
1323646a5c
1414c911da
15c76825c
hex87bd9cc

142334412 has 96 divisors (see below), whose sum is σ = 376502784. Its totient is φ = 41472000.

The previous prime is 142334399. The next prime is 142334441. The reversal of 142334412 is 214433241.

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

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, 737388 + ... + 737580.

It is an arithmetic number, because the mean of its divisors is an integer number (3921904).

Almost surely, 2142334412 is an apocalyptic number.

142334412 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 142334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188251392).

142334412 is an abundant number, since it is smaller than the sum of its proper divisors (234168372).

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

142334412 is a wasteful number, since it uses less digits than its factorization.

142334412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 142334412 is about 11930.3986521826. The cubic root of 142334412 is about 522.1195686227.

Adding to 142334412 its reverse (214433241), we get a palindrome (356767653).

The spelling of 142334412 in words is "one hundred forty-two million, three hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 151 193 222 302 386 407 444 453 579 604 772 814 906 1158 1221 1628 1661 1812 2123 2316 2442 3322 4246 4884 4983 5587 6369 6644 7141 8492 9966 11174 12738 14282 16761 19932 21423 22348 25476 28564 29143 33522 42846 58286 61457 67044 78551 85692 87429 116572 122914 157102 174858 184371 235653 245828 314204 320573 349716 368742 471306 641146 737484 942612 961719 1078291 1282292 1923438 2156582 3234873 3846876 4313164 6469746 11861201 12939492 23722402 35583603 47444804 71167206 142334412