Search a number
-
+
143929033290 = 232572173188653
BaseRepresentation
bin1000011000001011010…
…1101100001001001010
3111202111122212110011200
42012002311230021022
54324231313031130
6150041534405030
713253460411600
oct2060265541112
9452448773150
10143929033290
1156049206a99
1223a89660776
1310759896b73
146d7538b870
153b25b29760
hex2182d6c24a

143929033290 has 144 divisors (see below), whose sum is σ = 437830467048. Its totient is φ = 32707729152.

The previous prime is 143929033273. The next prime is 143929033349. The reversal of 143929033290 is 92330929341.

143929033290 is a `hidden beast` number, since 1 + 4 + 39 + 290 + 3 + 329 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137490415209 + 6438618081 = 370797^2 + 80241^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 668604 + ... + 857256.

Almost surely, 2143929033290 is an apocalyptic number.

143929033290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 143929033290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218915233524).

143929033290 is an abundant number, since it is smaller than the sum of its proper divisors (293901433758).

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

143929033290 is a wasteful number, since it uses less digits than its factorization.

143929033290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188853 (or 188843 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 143929033290 in words is "one hundred forty-three billion, nine hundred twenty-nine million, thirty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 173 210 245 294 315 346 441 490 519 630 735 865 882 1038 1211 1470 1557 1730 2205 2422 2595 3114 3633 4410 5190 6055 7266 7785 8477 10899 12110 15570 16954 18165 21798 25431 36330 42385 50862 54495 76293 84770 108990 127155 152586 188653 254310 377306 381465 565959 762930 943265 1131918 1320571 1697877 1886530 2641142 2829795 3395754 3961713 5659590 6602855 7923426 8489385 9243997 11885139 13205710 16978770 18487994 19808565 23770278 27731991 32636969 39617130 46219985 55463982 59425695 65273938 83195973 92439970 97910907 118851390 138659955 163184845 166391946 195821814 228458783 277319910 293732721 326369690 415979865 456917566 489554535 587465442 685376349 831959730 979109070 1142293915 1370752698 1468663605 1599211481 2056129047 2284587830 2937327210 3198422962 3426881745 4112258094 4797634443 6853763490 7996057405 9595268886 10280645235 14392903329 15992114810 20561290470 23988172215 28785806658 47976344430 71964516645 143929033290