Search a number
-
+
232334142000 = 24353268714411
BaseRepresentation
bin1101100001100000110…
…0011010101000110000
3211012200202200021202020
43120120030122220300
512301310020021000
6254422142551440
722533312423402
oct3303014325060
9735622607666
10232334142000
118a594625704
1239040298580
1318ba815178c
14b360524b72
15609be65ba0
hex361831aa30

232334142000 has 160 divisors (see below), whose sum is σ = 749376036864. Its totient is φ = 61928416000.

The previous prime is 232334141993. The next prime is 232334142013. The reversal of 232334142000 is 241433232.

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

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, 16114795 + ... + 16129205.

Almost surely, 2232334142000 is an apocalyptic number.

232334142000 is a gapful number since it is divisible by the number (20) 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 232334142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374688018432).

232334142000 is an abundant number, since it is smaller than the sum of its proper divisors (517041894864).

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

232334142000 is a wasteful number, since it uses less digits than its factorization.

232334142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17124 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232334142000 its reverse (241433232), we get a palindrome (232575575232).

The spelling of 232334142000 in words is "two hundred thirty-two billion, three hundred thirty-four million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2687 3000 5374 6000 8061 10748 13435 14411 16122 21496 26870 28822 32244 40305 42992 43233 53740 57644 64488 67175 72055 80610 86466 107480 115288 128976 134350 144110 161220 172932 201525 214960 216165 230576 268700 288220 322440 335875 345864 360275 403050 432330 537400 576440 644880 671750 691728 720550 806100 864660 1007625 1074800 1080825 1152880 1343500 1441100 1612200 1729320 1801375 2015250 2161650 2687000 2882200 3224400 3458640 3602750 4030500 4323300 5374000 5404125 5764400 7205500 8061000 8646600 10808250 14411000 16122000 17293200 21616500 28822000 38722357 43233000 77444714 86466000 116167071 154889428 193611785 232334142 309778856 387223570 464668284 580835355 619557712 774447140 929336568 968058925 1161670710 1548894280 1858673136 1936117850 2323341420 2904176775 3097788560 3872235700 4646682840 4840294625 5808353550 7744471400 9293365680 9680589250 11616707100 14520883875 15488942800 19361178500 23233414200 29041767750 38722357000 46466828400 58083535500 77444714000 116167071000 232334142000