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142221461310 = 23451311340321
BaseRepresentation
bin1000010001110100001…
…1110100011100111110
3111121002122202210210000
42010131003310130332
54312232143230220
6145200255255130
713163244321615
oct2043503643476
9447078683700
10142221461310
1155352341985
122369181a4a6
1310546b98c46
146c5269487c
153a75c7c390
hex211d0f473e

142221461310 has 80 divisors (see below), whose sum is σ = 385337213712. Its totient is φ = 37636185600.

The previous prime is 142221461303. The next prime is 142221461363. The reversal of 142221461310 is 13164122241.

142221461310 is a `hidden beast` number, since 1 + 4 + 2 + 22 + 14 + 613 + 10 = 666.

142221461310 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422214613102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564051 + ... + 776270.

Almost surely, 2142221461310 is an apocalyptic number.

142221461310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142221461310 is an abundant number, since it is smaller than the sum of its proper divisors (243115752402).

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

142221461310 is a wasteful number, since it uses less digits than its factorization.

142221461310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340471 (or 1340462 counting only the distinct ones).

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

Adding to 142221461310 its reverse (13164122241), we get a palindrome (155385583551).

It can be divided in two parts, 1422214 and 61310, that added together give a square (1483524 = 12182).

The spelling of 142221461310 in words is "one hundred forty-two billion, two hundred twenty-one million, four hundred sixty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 262 270 393 405 655 786 810 1179 1310 1965 2358 3537 3930 5895 7074 10611 11790 17685 21222 35370 53055 106110 1340321 2680642 4020963 6701605 8041926 12062889 13403210 20104815 24125778 36188667 40209630 60314445 72377334 108566001 120628890 175582051 180943335 217132002 351164102 361886670 526746153 542830005 877910255 1053492306 1085660010 1580238459 1755820510 2633730765 3160476918 4740715377 5267461530 7901192295 9481430754 14222146131 15802384590 23703576885 28444292262 47407153770 71110730655 142221461310