Search a number
-
+
142943722866 = 23372325316607
BaseRepresentation
bin1000010100100000011…
…1000001110101110010
3111122221222211111101000
42011020013001311302
54320222043112431
6145400100022430
713220164411500
oct2051007016562
9448858744330
10142943722866
115569300675a
1223853691a16
1310630700c49
146cc0585670
153ab939a9e6
hex21481c1d72

142943722866 has 96 divisors (see below), whose sum is σ = 369650234880. Its totient is φ = 40826050272.

The previous prime is 142943722861. The next prime is 142943722871. The reversal of 142943722866 is 668227349241.

It is a happy number.

142943722866 is a `hidden beast` number, since 1 + 4 + 294 + 3 + 72 + 286 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (142943722861) and next prime (142943722871).

It is a super-2 number, since 2×1429437228662 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142943722861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8599135 + ... + 8615741.

It is an arithmetic number, because the mean of its divisors is an integer number (3850523280).

Almost surely, 2142943722866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142943722866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184825117440).

142943722866 is an abundant number, since it is smaller than the sum of its proper divisors (226706512014).

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

142943722866 is a wasteful number, since it uses less digits than its factorization.

142943722866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19885 (or 19872 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 142943722866 in words is "one hundred forty-two billion, nine hundred forty-three million, seven hundred twenty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3253 6506 9759 16607 19518 22771 29277 33214 45542 49821 58554 68313 87831 99642 116249 136626 149463 159397 175662 204939 232498 298926 318794 348747 409878 448389 478191 614817 697494 813743 896778 956382 1046241 1229634 1434573 1627486 2092482 2441229 2869146 3138723 4303719 4882458 6277446 7323687 8607438 14647374 21971061 43942122 54022571 108045142 162067713 324135426 378157997 486203139 756315994 972406278 1134473991 1458609417 2268947982 2647105979 2917218834 3403421973 5294211958 6806843946 7941317937 10210265919 15882635874 20420531838 23823953811 47647907622 71471861433 142943722866