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142165336144212 = 22333743182545037
BaseRepresentation
bin100000010100110001110010…
…010111000011100101010100
3200122100212120201012202022000
4200110301302113003211110
5122113214102023103322
61222205504231235300
741642051362603113
oct4024616227034524
9618325521182260
10142165336144212
1141330a87013327
1213b40717518b30
1361431978b4864
142716ba6253c7a
1511680a765b3ac
hex814c725c3954

142165336144212 has 96 divisors (see below), whose sum is σ = 379416616266240. Its totient is φ = 46000697662080.

The previous prime is 142165336144211. The next prime is 142165336144229. The reversal of 142165336144212 is 212441633561241.

142165336144212 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 6 + 5 + 3 + 3 + 614 + 4 + 21 + 2 = 666.

It is a super-2 number, since 2×1421653361442122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142165336144211) 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, 39550243 + ... + 42994794.

It is an arithmetic number, because the mean of its divisors is an integer number (3952256419440).

Almost surely, 2142165336144212 is an apocalyptic number.

142165336144212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142165336144212 is an abundant number, since it is smaller than the sum of its proper divisors (237251280122028).

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

142165336144212 is a wasteful number, since it uses less digits than its factorization.

142165336144212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82545518 (or 82545510 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 142165336144212 in words is "one hundred forty-two trillion, one hundred sixty-five billion, three hundred thirty-six million, one hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 431 444 666 862 999 1293 1332 1724 1998 2586 3879 3996 5172 7758 11637 15516 15947 23274 31894 46548 47841 63788 95682 143523 191364 287046 430569 574092 861138 1722276 82545037 165090074 247635111 330180148 495270222 742905333 990540444 1485810666 2228715999 2971621332 3054166369 4457431998 6108332738 8914863996 9162499107 12216665476 18324998214 27487497321 35576910947 36649996428 54974994642 71153821894 82462491963 106730732841 109949989284 142307643788 164924983926 213461465682 320192198523 329849967852 426922931364 640384397046 960576595569 1280768794092 1316345705039 1921153191138 2632691410078 3842306382276 3949037115117 5265382820156 7898074230234 11847111345351 15796148460468 23694222690702 35541334036053 47388445381404 71082668072106 142165336144212