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4114304031012 = 223732083479879
BaseRepresentation
bin111011110111101111101…
…000010101100100100100
3112120022201220220002220020
4323313233220111210210
51014402043312443022
612430030222035140
7603151201146000
oct73675750254444
915508656802806
104114304031012
1113469594029aa
12565468118ab0
1323ac91bc6846
141031c1db9700
1572050d8135c
hex3bdefa15924

4114304031012 has 96 divisors (see below), whose sum is σ = 11200783104000. Its totient is φ = 1174948651296.

The previous prime is 4114304030987. The next prime is 4114304031031. The reversal of 4114304031012 is 2101304034114.

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, 8333689 + ... + 8813567.

It is an arithmetic number, because the mean of its divisors is an integer number (116674824000).

Almost surely, 24114304031012 is an apocalyptic number.

4114304031012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114304031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600391552000).

4114304031012 is an abundant number, since it is smaller than the sum of its proper divisors (7086479072988).

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

4114304031012 is a wasteful number, since it uses less digits than its factorization.

4114304031012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481990 (or 481974 counting only the distinct ones).

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

Adding to 4114304031012 its reverse (2101304034114), we get a palindrome (6215608065126).

The spelling of 4114304031012 in words is "four trillion, one hundred fourteen billion, three hundred four million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2083 4116 4166 6249 8332 12498 14581 24996 29162 43743 58324 87486 102067 174972 204134 306201 408268 479879 612402 714469 959758 1224804 1428938 1439637 1919516 2143407 2857876 2879274 3359153 4286814 5758548 6718306 8573628 10077459 13436612 20154918 23514071 40309836 47028142 70542213 94056284 141084426 164598497 282168852 329196994 493795491 658393988 987590982 999587957 1975181964 1999175914 2998763871 3998351828 5997527742 6997115699 11995055484 13994231398 20991347097 27988462796 41982694194 48979809893 83965388388 97959619786 146939429679 195919239572 293878859358 342858669251 587757718716 685717338502 1028576007753 1371434677004 2057152015506 4114304031012