Search a number
-
+
141256526004 = 2232111725183597
BaseRepresentation
bin1000001110001110001…
…0111000100010110100
3111111121102002000101100
42003203202320202310
54303243132313004
6144520425330100
713130316442266
oct2034342704264
9444542060340
10141256526004
11549a7698790
1223462636930
1310421cb80c9
146ba0473b36
153a1b1c5739
hex20e38b88b4

141256526004 has 144 divisors (see below), whose sum is σ = 414086976576. Its totient is φ = 40126080000.

The previous prime is 141256525997. The next prime is 141256526077. The reversal of 141256526004 is 400625652141.

141256526004 is a `hidden beast` number, since 1 + 4 + 125 + 6 + 526 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1412565260042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141256526004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647934 + ... + 1731530.

It is an arithmetic number, because the mean of its divisors is an integer number (2875604004).

Almost surely, 2141256526004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141256526004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043488288).

141256526004 is an abundant number, since it is smaller than the sum of its proper divisors (272830450572).

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

141256526004 is a wasteful number, since it uses less digits than its factorization.

141256526004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83886 (or 83881 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 141256526004 in words is "one hundred forty-one billion, two hundred fifty-six million, five hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 251 306 374 396 502 561 612 748 753 1004 1122 1506 1683 2244 2259 2761 3012 3366 4267 4518 5522 6732 8283 8534 9036 11044 12801 16566 17068 24849 25602 33132 38403 46937 49698 51204 76806 83597 93874 99396 140811 153612 167194 187748 250791 281622 334388 422433 501582 563244 752373 844866 919567 1003164 1421149 1504746 1689732 1839134 2758701 2842298 3009492 3678268 4263447 5517402 5684596 8276103 8526894 11034804 12790341 15632639 16552206 17053788 20982847 25580682 31265278 33104412 41965694 46897917 51161364 62530556 62948541 83931388 93795834 125897082 140693751 187591668 188845623 230811317 251794164 281387502 356708399 377691246 461622634 562775004 692433951 713416798 755382492 923245268 1070125197 1384867902 1426833596 2077301853 2140250394 2769735804 3210375591 3923792389 4154603706 4280500788 6420751182 7847584778 8309207412 11771377167 12841502364 15695169556 23542754334 35314131501 47085508668 70628263002 141256526004