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31434011412 = 22329375774231
BaseRepresentation
bin11101010001100111…
…001111001100010100
310000010200122020012220
4131101213033030110
51003334101331122
622235055542340
72161651455066
oct352147171424
9100120566186
1031434011412
1112370753031
12611322a9b0
132c6c4c166b
141742a91736
15c3e98b25c
hex7519cf314

31434011412 has 96 divisors (see below), whose sum is σ = 78079384320. Its totient is φ = 9823887360.

The previous prime is 31434011393. The next prime is 31434011429. The reversal of 31434011412 is 21411043413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7427337 + ... + 7431567.

It is an arithmetic number, because the mean of its divisors is an integer number (813326920).

Almost surely, 231434011412 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 31434011412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39039692160).

31434011412 is an abundant number, since it is smaller than the sum of its proper divisors (46645372908).

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

31434011412 is a wasteful number, since it uses less digits than its factorization.

31434011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31434011412 its reverse (21411043413), we get a palindrome (52845054825).

The spelling of 31434011412 in words is "thirty-one billion, four hundred thirty-four million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 577 1073 1154 1731 2146 2308 3219 3462 4231 4292 6438 6924 8462 12693 12876 16733 16924 21349 25386 33466 42698 50199 50772 64047 66932 85396 100398 122699 128094 156547 200796 245398 256188 313094 368097 469641 490796 619121 626188 736194 939282 1238242 1472388 1857363 1878564 2441287 2476484 3714726 4539863 4882574 7323861 7429452 9079726 9765148 13619589 14647722 18159452 27239178 29295444 54478356 70797323 90327619 141594646 180655238 212391969 270982857 283189292 361310476 424783938 541965714 849567876 1083931428 2619500951 5239001902 7858502853 10478003804 15717005706 31434011412