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71141375412 = 22333722977743
BaseRepresentation
bin100001001000001011…
…0110011110110110100
320210121222001022121000
41002100112303312310
52131144143003122
652403142323300
75065643466522
oct1022026636664
9223558038530
1071141375412
11281974a7338
1211955129530
136929a53c13
14362c445312
151cb591b0ac
hex10905b3db4

71141375412 has 96 divisors (see below), whose sum is σ = 190255116800. Its totient is φ = 22971828096.

The previous prime is 71141375363. The next prime is 71141375443. The reversal of 71141375412 is 21457314117.

71141375412 is a `hidden beast` number, since 71 + 1 + 41 + 3 + 7 + 541 + 2 = 666.

It is a super-2 number, since 2×711413754122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876213 + ... + 953955.

Almost surely, 271141375412 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 71141375412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95127558400).

71141375412 is an abundant number, since it is smaller than the sum of its proper divisors (119113741388).

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

71141375412 is a wasteful number, since it uses less digits than its factorization.

71141375412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78022 (or 78014 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

Adding to 71141375412 its reverse (21457314117), we get a palindrome (92598689529).

The spelling of 71141375412 in words is "seventy-one billion, one hundred forty-one million, three hundred seventy-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 229 333 444 458 666 687 916 999 1332 1374 1998 2061 2748 3996 4122 6183 8244 8473 12366 16946 24732 25419 33892 50838 76257 77743 101676 152514 155486 228771 233229 305028 310972 457542 466458 699687 915084 932916 1399374 2099061 2798748 2876491 4198122 5752982 8396244 8629473 11505964 17258946 17803147 25888419 34517892 35606294 51776838 53409441 71212588 77665257 103553676 106818882 155330514 160228323 213637764 310661028 320456646 480684969 640913292 658716439 961369938 1317432878 1922739876 1976149317 2634865756 3952298634 5928447951 7904597268 11856895902 17785343853 23713791804 35570687706 71141375412