Search a number
-
+
142415101215 = 325171399133069
BaseRepresentation
bin1000010010100010011…
…0011111110100011111
3111121121011010201210100
42010220212133310133
54313131231214330
6145231413512143
713201115246502
oct2045046376437
9447534121710
10142415101215
1155441680462
1223726642653
131057803737a
146c7029d139
153a87c7c060
hex212899fd1f

142415101215 has 48 divisors (see below), whose sum is σ = 261562392000. Its totient is φ = 71435160576.

The previous prime is 142415101201. The next prime is 142415101223. The reversal of 142415101215 is 512101514241.

142415101215 is a `hidden beast` number, since 1 + 4 + 24 + 1 + 510 + 121 + 5 = 666.

It is not a de Polignac number, because 142415101215 - 29 = 142415100703 is a prime.

It is a super-3 number, since 3×1424151012153 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003701 + ... + 1136769.

It is an arithmetic number, because the mean of its divisors is an integer number (5449216500).

Almost surely, 2142415101215 is an apocalyptic number.

142415101215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142415101215 is a deficient number, since it is larger than the sum of its proper divisors (119147290785).

142415101215 is a wasteful number, since it uses less digits than its factorization.

142415101215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134496 (or 134493 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 142415101215 its reverse (512101514241), we get a palindrome (654516615456).

The spelling of 142415101215 in words is "one hundred forty-two billion, four hundred fifteen million, one hundred one thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1399 4197 6995 12591 20985 23783 62955 71349 118915 133069 214047 356745 399207 665345 1070235 1197621 1996035 2262173 5988105 6786519 11310865 20359557 33932595 101797785 186163531 558490593 930817655 1675471779 2792452965 3164780027 8377358895 9494340081 15823900135 28483020243 47471700405 142415101215