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71345631540012 = 223192231732181013
BaseRepresentation
bin10000001110001101110011…
…000001100011001100101100
3100100121120112201202122010020
4100032031303001203030230
533322411323133240022
6411423421453242140
721012360155013264
oct2016156301431454
9310546481678106
1071345631540012
1120807570033755
128003317793350
1330a6b30801a9b
14138920b4b67a4
1583ace4a0735c
hex40e37306332c

71345631540012 has 96 divisors (see below), whose sum is σ = 176033026283520. Its totient is φ = 22427595394560.

The previous prime is 71345631540011. The next prime is 71345631540017. The reversal of 71345631540012 is 21004513654317.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71345631540011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880628418 + ... + 880709430.

It is an arithmetic number, because the mean of its divisors is an integer number (1833677357120).

Almost surely, 271345631540012 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 71345631540012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016513141760).

71345631540012 is an abundant number, since it is smaller than the sum of its proper divisors (104687394743508).

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

71345631540012 is a wasteful number, since it uses less digits than its factorization.

71345631540012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98583 (or 98581 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 71345631540012 in words is "seventy-one trillion, three hundred forty-five billion, six hundred thirty-one million, five hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 446 669 892 1338 2676 4237 8474 12711 16948 17321 25422 34642 50844 51963 69284 81013 103926 162026 207852 243039 324052 329099 486078 658198 972156 987297 1316396 1539247 1974594 3078494 3862583 3949188 4617741 6156988 7725166 9235482 11587749 15450332 18065899 18470964 23175498 36131798 46350996 54197697 72263596 73389077 108395394 146778154 216790788 220167231 293556308 343252081 440334462 686504162 880668924 1029756243 1373008324 1403226173 2059512486 2806452346 4119024972 4209678519 5612904692 8419357038 16838714076 26661297287 53322594574 79983891861 106645189148 159967783722 312919436579 319935567444 625838873158 938758309737 1251677746316 1877516619474 3755033238948 5945469295001 11890938590002 17836407885003 23781877180004 35672815770006 71345631540012