Search a number
-
+
137441050614 = 2347197387383
BaseRepresentation
bin1000000000000000011…
…1111111111111110110
3111010202111120210010000
42000000013333333312
54222434402104424
6143050050412130
712633626440320
oct2000007777766
9433674523100
10137441050614
115331998763a
1222778891046
13cc64692b6a
14691b834610
15389624e3c9
hex20001ffff6

137441050614 has 160 divisors (see below), whose sum is σ = 375569441280. Its totient is φ = 36692051328.

The previous prime is 137441050613. The next prime is 137441050661. The reversal of 137441050614 is 416050144731.

137441050614 is a `hidden beast` number, since 1 + 37 + 4 + 4 + 1 + 0 + 5 + 0 + 614 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137441050613) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1529167 + ... + 1616549.

It is an arithmetic number, because the mean of its divisors is an integer number (2347309008).

Almost surely, 2137441050614 is an apocalyptic number.

137441050614 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 137441050614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187784720640).

137441050614 is an abundant number, since it is smaller than the sum of its proper divisors (238128390666).

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

137441050614 is a wasteful number, since it uses less digits than its factorization.

137441050614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87496 (or 87487 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 137441050614 in words is "one hundred thirty-seven billion, four hundred forty-one million, fifty thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 73 81 114 126 133 146 162 171 189 219 266 342 378 399 438 511 513 567 657 798 1022 1026 1134 1197 1314 1387 1533 1539 1971 2394 2774 3066 3078 3591 3942 4161 4599 5913 7182 8322 9198 9709 10773 11826 12483 13797 19418 21546 24966 27594 29127 37449 41391 58254 74898 82782 87381 87383 112347 174762 174766 224694 262143 262149 524286 524298 611681 786429 786447 1223362 1572858 1572894 1660277 1835043 2359341 3320554 3670086 4718682 4980831 5505129 6378959 7078023 9961662 11010258 11621939 12757918 14156046 14942493 16515387 19136877 23243878 29884986 33030774 34865817 38273754 44652713 44827479 49546161 57410631 69731634 89305426 89654958 99092322 104597451 114821262 121200221 133958139 134482437 172231893 209194902 242400442 267916278 268964874 313792353 344463786 363600663 401874417 516695679 627584706 727201326 803748834 848401547 941377059 1033391358 1090801989 1205623251 1696803094 1882754118 2181603978 2411246502 2545204641 3272405967 3616869753 5090409282 6544811934 7233739506 7635613923 9817217901 15271227846 19634435802 22906841769 45813683538 68720525307 137441050614