Search a number
-
+
42111011124 = 223271318736863
BaseRepresentation
bin100111001110000000…
…110000100100110100
311000200210022000100200
4213032000300210310
51142220404323444
631202345040500
73020356455120
oct471600604464
9130623260320
1042111011124
111694a627a36
1281b2a86130
133c81527280
142076ac2580
151166ec6969
hex9ce030934

42111011124 has 144 divisors (see below), whose sum is σ = 131101082112. Its totient is φ = 11098653696.

The previous prime is 42111011101. The next prime is 42111011141.

42111011124 is a `hidden beast` number, since 421 + 110 + 11 + 124 = 666.

42111011124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42111011097 and 42111011106.

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, 6132517 + ... + 6139379.

Almost surely, 242111011124 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 42111011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65550541056).

42111011124 is an abundant number, since it is smaller than the sum of its proper divisors (88990070988).

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

42111011124 is a wasteful number, since it uses less digits than its factorization.

42111011124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 421110 and 11124, that added together give a palindrome (432234).

The spelling of 42111011124 in words is "forty-two billion, one hundred eleven million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 1873 3276 3746 5619 6863 7492 11238 13111 13726 16857 20589 22476 24349 26222 27452 33714 39333 41178 48041 48698 52444 61767 67428 73047 78666 82356 89219 96082 97396 117999 123534 144123 146094 157332 170443 178438 192164 219141 235998 247068 267657 288246 292188 340886 356876 432369 438282 471996 511329 535314 576492 624533 681772 802971 864738 876564 1022658 1070628 1249066 1533987 1605942 1729476 1873599 2045316 2498132 3067974 3211884 3747198 5620797 6135948 7494396 11241594 12854399 22483188 25708798 38563197 51417596 77126394 89980793 115689591 154252788 167107187 179961586 231379182 269942379 334214374 359923172 462758364 501321561 539884758 668428748 809827137 1002643122 1079769516 1169750309 1503964683 1619654274 2005286244 2339500618 3007929366 3239308548 3509250927 4679001236 6015858732 7018501854 10527752781 14037003708 21055505562 42111011124