Search a number
-
+
131414043140310 = 23573475573237709
BaseRepresentation
bin11101111000010100110111…
…010111000010000011010110
3122020022001121121122112012110
4131320110313113002003112
5114211041430020442220
61143254440013531450
736452231332114530
oct3570246727020326
9566261547575173
10131414043140310
11389664234396a7
12128a4b091a3b86
1358433a26c3c28
14246468b8b0850
15102d5aa50dbe0
hex7785375c20d6

131414043140310 has 128 divisors (see below), whose sum is σ = 362137811696640. Its totient is φ = 29897151081984.

The previous prime is 131414043140291. The next prime is 131414043140323. The reversal of 131414043140310 is 13041340414131.

It is a super-2 number, since 2×1314140431403102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38969736 + ... + 42207444.

It is an arithmetic number, because the mean of its divisors is an integer number (2829201653880).

Almost surely, 2131414043140310 is an apocalyptic number.

131414043140310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131414043140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181068905848320).

131414043140310 is an abundant number, since it is smaller than the sum of its proper divisors (230723768556330).

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

131414043140310 is a wasteful number, since it uses less digits than its factorization.

131414043140310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238630.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131414043140310 its reverse (13041340414131), we get a palindrome (144455383554441).

The spelling of 131414043140310 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-three million, one hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 347 557 694 1041 1114 1671 1735 2082 2429 2785 3342 3470 3899 4858 5205 5570 7287 7798 8355 10410 11697 12145 14574 16710 19495 23394 24290 36435 38990 58485 72870 116970 193279 386558 579837 966395 1159674 1352953 1932790 2705906 2899185 3237709 4058859 5798370 6475418 6764765 8117718 9713127 13529530 16188545 19426254 20294295 22663963 32377090 40588590 45327926 48565635 67991889 97131270 113319815 135983778 226639630 339959445 679918890 1123485023 1803403913 2246970046 3370455069 3606807826 5410211739 5617425115 6740910138 7864395161 9017019565 10820423478 11234850230 12623827391 15728790322 16852275345 18034039130 23593185483 25247654782 27051058695 33704550690 37871482173 39321975805 47186370966 54102117390 63119136955 75742964346 78643951610 117965927415 126238273910 189357410865 235931854830 378714821730 625781157811 1251562315622 1877343473433 3128905789055 3754686946866 4380468104677 6257811578110 8760936209354 9386717367165 13141404314031 18773434734330 21902340523385 26282808628062 43804681046770 65707021570155 131414043140310