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143319827070 = 232572224314489
BaseRepresentation
bin1000010101111010000…
…1110000001001111110
3111200221012112120100100
42011132201300021332
54322004333431240
6145501253141530
713232412300300
oct2053641601176
9450835476310
10143319827070
1155866340382
122393962a8a6
13106905c6b04
146d184c9970
153adc3dde30
hex215e87027e

143319827070 has 144 divisors (see below), whose sum is σ = 433692539280. Its totient is φ = 32741952768.

The previous prime is 143319827059. The next prime is 143319827083. The reversal of 143319827070 is 70728913341.

143319827070 is a `hidden beast` number, since 1 + 433 + 1 + 9 + 82 + 70 + 70 = 666.

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

It is a Curzon number.

It is a congruent 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, 9884386 + ... + 9898874.

It is an arithmetic number, because the mean of its divisors is an integer number (3011753745).

Almost surely, 2143319827070 is an apocalyptic number.

143319827070 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 143319827070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216846269640).

143319827070 is an abundant number, since it is smaller than the sum of its proper divisors (290372712210).

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

143319827070 is a wasteful number, since it uses less digits than its factorization.

143319827070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759 (or 16749 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 143319827070 in words is "one hundred forty-three billion, three hundred nineteen million, eight hundred twenty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2243 4410 4486 6729 11215 13458 14489 15701 20187 22430 28978 31402 33645 40374 43467 47103 67290 72445 78505 86934 94206 100935 101423 109907 130401 141309 144890 157010 201870 202846 217335 219814 235515 260802 282618 304269 329721 434670 471030 507115 549535 608538 652005 659442 706545 709961 912807 989163 1014230 1099070 1304010 1413090 1419922 1521345 1648605 1825614 1978326 2129883 3042690 3297210 3549805 4259766 4564035 4945815 6389649 7099610 9128070 9891630 10649415 12779298 21298830 31948245 32498827 63896490 64997654 97496481 162494135 194992962 227491789 292489443 324988270 454983578 487482405 584978886 682475367 974964810 1137458945 1364950734 1462447215 1592442523 2047426101 2274917890 2924894430 3184885046 3412376835 4094852202 4777327569 6824753670 7962212615 9554655138 10237130505 14331982707 15924425230 20474261010 23886637845 28663965414 47773275690 71659913535 143319827070