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142513206000 = 24353112159291
BaseRepresentation
bin1000010010111001110…
…0101111001011110000
3111121211222201222020220
42010232130233023300
54313331340043000
6145245240333040
713203416156334
oct2045634571360
9447758658226
10142513206000
1155491a97aa0
1223753474180
1310592466339
146c7d3197c4
153a916aa1a0
hex212e72f2f0

142513206000 has 160 divisors (see below), whose sum is σ = 501232133376. Its totient is φ = 34548640000.

The previous prime is 142513205993. The next prime is 142513206001. The reversal of 142513206000 is 602315241.

142513206000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1425132060003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142513206001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1013646 + ... + 1145645.

Almost surely, 2142513206000 is an apocalyptic number.

142513206000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142513206000 is an abundant number, since it is smaller than the sum of its proper divisors (358718927376).

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

142513206000 is a wasteful number, since it uses less digits than its factorization.

142513206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159328 (or 2159312 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 142513206000 in words is "one hundred forty-two billion, five hundred thirteen million, two hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 2159291 4318582 6477873 8637164 10796455 12955746 17274328 21592910 23752201 25911492 32389365 34548656 43185820 47504402 51822984 53982275 64778730 71256603 86371640 95008804 103645968 107964550 118761005 129557460 142513206 161946825 172743280 190017608 215929100 237522010 259114920 269911375 285026412 323893650 356283015 380035216 431858200 475044020 518229840 539822750 570052824 593805025 647787300 712566030 809734125 863716400 950088040 1079645500 1140105648 1187610050 1295574600 1425132060 1619468250 1781415075 1900176080 2159291000 2375220100 2591149200 2850264120 2969025125 3238936500 3562830150 4318582000 4750440200 5700528240 5938050250 6477873000 7125660300 8907075375 9500880400 11876100500 12955746000 14251320600 17814150750 23752201000 28502641200 35628301500 47504402000 71256603000 142513206000