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142002323220 = 223567239147799
BaseRepresentation
bin1000010000111111111…
…1110111111100010100
3111120112101102102211110
42010033333313330110
54311310043320340
6145122430335020
713154643555222
oct2041777677424
9446471372743
10142002323220
115524a67821a
122363035a470
1310510670934
146c3152db12
153a618e2680
hex210fff7f14

142002323220 has 96 divisors (see below), whose sum is σ = 405232128000. Its totient is φ = 37145775744.

The previous prime is 142002323213. The next prime is 142002323227. The reversal of 142002323220 is 22323200241.

It is an interprime number because it is at equal distance from previous prime (142002323213) and next prime (142002323227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142002323227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886881 + ... + 1034679.

It is an arithmetic number, because the mean of its divisors is an integer number (4221168000).

Almost surely, 2142002323220 is an apocalyptic number.

142002323220 is a gapful number since it is divisible by the number (10) 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 142002323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202616064000).

142002323220 is an abundant number, since it is smaller than the sum of its proper divisors (263229804780).

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

142002323220 is a wasteful number, since it uses less digits than its factorization.

142002323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148117 (or 148115 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 142002323220 its reverse (22323200241), we get a palindrome (164325523461).

The spelling of 142002323220 in words is "one hundred forty-two billion, two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 239 268 335 402 478 670 717 804 956 1005 1195 1340 1434 2010 2390 2868 3585 4020 4780 7170 14340 16013 32026 48039 64052 80065 96078 147799 160130 192156 240195 295598 320260 443397 480390 591196 738995 886794 960780 1477990 1773588 2216985 2955980 4433970 8867940 9902533 19805066 29707599 35323961 39610132 49512665 59415198 70647922 99025330 105971883 118830396 141295844 148537995 176619805 198050660 211943766 297075990 353239610 423887532 529859415 594151980 706479220 1059718830 2119437660 2366705387 4733410774 7100116161 9466821548 11833526935 14200232322 23667053870 28400464644 35500580805 47334107740 71001161610 142002323220