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142412263110 = 2325131071137569
BaseRepresentation
bin1000010010100001101…
…1101010111011000110
3111121120221210112122100
42010220123222323012
54313130014404420
6145231233012530
713201052156235
oct2045033527306
9447527715570
10142412263110
1155440012117
12237256b4146
1310577582610
146c6db60b1c
153a878bb190
hex21286eaec6

142412263110 has 96 divisors (see below), whose sum is σ = 402481366560. Its totient is φ = 34727675904.

The previous prime is 142412263109. The next prime is 142412263127. The reversal of 142412263110 is 11362214241.

142412263110 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 1 + 22 + 631 + 1 + 0 = 666.

It is a super-2 number, since 2×1424122631102 (a number of 23 digits) contains 22 as substring.

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, 443595 + ... + 693974.

It is an arithmetic number, because the mean of its divisors is an integer number (4192514235).

Almost surely, 2142412263110 is an apocalyptic number.

142412263110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142412263110 is an abundant number, since it is smaller than the sum of its proper divisors (260069103450).

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

142412263110 is a wasteful number, since it uses less digits than its factorization.

142412263110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137702 (or 1137699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142412263110 its reverse (11362214241), we get a palindrome (153774477351).

The spelling of 142412263110 in words is "one hundred forty-two billion, four hundred twelve million, two hundred sixty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 963 1070 1170 1391 1605 1926 2782 3210 4173 4815 6955 8346 9630 12519 13910 20865 25038 41730 62595 125190 1137569 2275138 3412707 5687845 6825414 10238121 11375690 14788397 17063535 20476242 29576794 34127070 44365191 51190605 73941985 88730382 102381210 121719883 133095573 147883970 221825955 243439766 266191146 365159649 443651910 608599415 665477865 730319298 1095478947 1217198830 1330955730 1582358479 1825798245 2190957894 3164716958 3651596490 4747075437 5477394735 7911792395 9494150874 10954789470 14241226311 15823584790 23735377185 28482452622 47470754370 71206131555 142412263110