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142243202000 = 2453295346273
BaseRepresentation
bin1000010001111001011…
…0110000001111010000
3111121011011200100101202
42010132112300033100
54312303224431000
6145202353250332
713163630160554
oct2043626601720
9447134610352
10142243202000
1155363640a99
1223698b639a8
131054b53b763
146c55513864
153a77b23dd5
hex211e5b03d0

142243202000 has 160 divisors (see below), whose sum is σ = 362525323680. Its totient is φ = 53897625600.

The previous prime is 142243201993. The next prime is 142243202027. The reversal of 142243202000 is 202342241.

It can be written as a sum of positive squares in 16 ways, for example, as 93677620624 + 48565581376 = 306068^2 + 220376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3050864 + ... + 3097136.

It is an arithmetic number, because the mean of its divisors is an integer number (2265783273).

Almost surely, 2142243202000 is an apocalyptic number.

142243202000 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 142243202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181262661840).

142243202000 is an abundant number, since it is smaller than the sum of its proper divisors (220282121680).

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

142243202000 is a wasteful number, since it uses less digits than its factorization.

142243202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46378 (or 46362 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 142243202000 its reverse (202342241), we get a palindrome (142445544241).

The spelling of 142243202000 in words is "one hundred forty-two billion, two hundred forty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 53 58 80 100 106 116 125 145 200 212 232 250 265 290 400 424 464 500 530 580 725 848 1000 1060 1160 1325 1450 1537 2000 2120 2320 2650 2900 3074 3625 4240 5300 5800 6148 6625 7250 7685 10600 11600 12296 13250 14500 15370 21200 24592 26500 29000 30740 38425 46273 53000 58000 61480 76850 92546 106000 122960 153700 185092 192125 231365 307400 370184 384250 462730 614800 740368 768500 925460 1156825 1341917 1537000 1850920 2313650 2452469 2683834 3074000 3701840 4627300 4904938 5367668 5784125 6709585 9254600 9809876 10735336 11568250 12262345 13419170 18509200 19619752 21470672 23136500 24524690 26838340 33547925 39239504 46273000 49049380 53676680 61311725 67095850 71121601 92546000 98098760 107353360 122623450 134191700 142243202 167739625 196197520 245246900 268383400 284486404 306558625 335479250 355608005 490493800 536766800 568972808 613117250 670958500 711216010 980987600 1137945616 1226234500 1341917000 1422432020 1778040025 2452469000 2683834000 2844864040 3556080050 4904938000 5689728080 7112160100 8890200125 14224320200 17780400250 28448640400 35560800500 71121601000 142243202000