Search a number
-
+
139832824194 = 23272199678629
BaseRepresentation
bin1000001000111010101…
…1111001000110000010
3111100221012010110122200
42002032223321012002
54242334200333234
6144123250414030
713050121252200
oct2021653710602
9440835113580
10139832824194
1154336a90518
1223125891316
131025605b2bb
146aa7352070
1539861ecd99
hex208eaf9182

139832824194 has 144 divisors (see below), whose sum is σ = 371411726400. Its totient is φ = 37805963328.

The previous prime is 139832824193. The next prime is 139832824279. The reversal of 139832824194 is 491428238931.

139832824194 is a `hidden beast` number, since 1 + 398 + 3 + 2 + 8 + 241 + 9 + 4 = 666.

It is a super-2 number, since 2×1398328241942 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 139832824194.

It is not an unprimeable number, because it can be changed into a prime (139832824193) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16200672 + ... + 16209300.

It is an arithmetic number, because the mean of its divisors is an integer number (2579248100).

Almost surely, 2139832824194 is an apocalyptic number.

139832824194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 139832824194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185705863200).

139832824194 is an abundant number, since it is smaller than the sum of its proper divisors (231578902206).

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

139832824194 is a wasteful number, since it uses less digits than its factorization.

139832824194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9637 (or 9627 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 139832824194 in words is "one hundred thirty-nine billion, eight hundred thirty-two million, eight hundred twenty-four thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 967 1197 1862 1934 2394 2793 2901 5586 5802 6769 8379 8629 8703 13538 16758 17258 17406 18373 20307 25887 36746 40614 47383 51774 55119 60403 60921 77661 94766 110238 120806 121842 128611 142149 155322 163951 165357 181209 257222 284298 327902 330714 362418 385833 422821 426447 491853 543627 771666 845642 852894 900277 983706 1087254 1147657 1157499 1268463 1475559 1800554 2295314 2314998 2536926 2700831 2951118 3442971 3805389 5401662 6885942 7610778 8033599 8102493 8344243 10328913 16067198 16204986 16688486 20657826 24100797 25032729 48201594 50065458 58409701 72302391 75098187 116819402 144604782 150196374 158540617 175229103 317081234 350458206 408867907 475621851 525687309 817735814 951243702 1051374618 1109784319 1226603721 1426865553 2219568638 2453207442 2853731106 3329352957 3679811163 6658705914 7359622326 7768490233 9988058871 15536980466 19976117742 23305470699 46610941398 69916412097 139832824194