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142155468 = 223272136199
BaseRepresentation
bin10000111100100…
…01111011001100
3100220111020122100
420132101323030
5242342433333
622034515100
73344205300
oct1036217314
9326436570
10142155468
1173274564
123b735a90
13235b3480
1414c45d00
15c730213
hex8791ecc

142155468 has 108 divisors (see below), whose sum is σ = 450231600. Its totient is φ = 37485504.

The previous prime is 142155467. The next prime is 142155499. The reversal of 142155468 is 864551241.

It is a happy number.

142155468 is a `hidden beast` number, since 1 + 42 + 1 + 554 + 68 = 666.

142155468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142155467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19833 + ... + 26031.

Almost surely, 2142155468 is an apocalyptic number.

142155468 is a gapful number since it is divisible by the number (18) 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 142155468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225115800).

142155468 is an abundant number, since it is smaller than the sum of its proper divisors (308076132).

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

142155468 is a wasteful number, since it uses less digits than its factorization.

142155468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6224 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 142155468 is about 11922.8967956617. The cubic root of 142155468 is about 521.9006725177.

It can be divided in two parts, 14215 and 5468, that added together give a 9-th power (19683 = 39).

The spelling of 142155468 in words is "one hundred forty-two million, one hundred fifty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 6199 7644 11466 12398 18597 22932 24796 37194 43393 55791 74388 80587 86786 111582 130179 161174 173572 223164 241761 260358 303751 322348 390537 483522 520716 564109 607502 725283 781074 911253 967044 1128218 1215004 1450566 1562148 1692327 1822506 2256436 2733759 2901132 3384654 3645012 3948763 5076981 5467518 6769308 7897526 10153962 10935036 11846289 15795052 20307924 23692578 35538867 47385156 71077734 142155468