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4145441231512 = 2371910749174159
BaseRepresentation
bin111100010100101111100…
…011010101001010011000
3112200022002221000210002101
4330110233203111022120
51020404330423402022
612452220040213144
7605332620036130
oct74245743251230
915608087023071
104145441231512
11135908755a559
1256b4b7a6a1b4
13240bb4a65b39
141048d7487ac0
1572c7473d627
hex3c52f8d5298

4145441231512 has 128 divisors (see below), whose sum is σ = 9457357824000. Its totient is φ = 1663963136640.

The previous prime is 4145441231507. The next prime is 4145441231513. The reversal of 4145441231512 is 2151321445414.

4145441231512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41454412315122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145441231513) 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, 55862289 + ... + 55936447.

It is an arithmetic number, because the mean of its divisors is an integer number (73885608000).

Almost surely, 24145441231512 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 4145441231512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728678912000).

4145441231512 is an abundant number, since it is smaller than the sum of its proper divisors (5311916592488).

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

4145441231512 is a wasteful number, since it uses less digits than its factorization.

4145441231512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74789 (or 74785 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

Adding to 4145441231512 its reverse (2151321445414), we get a palindrome (6296762676926).

The spelling of 4145441231512 in words is "four trillion, one hundred forty-five billion, four hundred forty-one million, two hundred thirty-one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 107 133 152 214 266 428 491 532 749 856 982 1064 1498 1964 2033 2996 3437 3928 4066 5992 6874 8132 9329 13748 14231 16264 18658 27496 28462 37316 52537 56924 65303 74159 74632 105074 113848 130606 148318 210148 261212 296636 367759 420296 519113 522424 593272 735518 998203 1038226 1409021 1471036 1996406 2076452 2818042 2942072 3992812 4152904 5636084 6987421 7935013 7985624 9863147 11272168 13974842 15870026 19726294 27949684 31740052 36412069 39452588 55545091 55899368 63480104 72824138 78905176 111090182 145648276 150765247 222180364 254884483 291296552 301530494 444360728 509768966 603060988 691829311 1019537932 1055356729 1206121976 1383658622 2039075864 2110713458 2767317244 3896091383 4221426916 4842805177 5534634488 7792182766 8442853832 9685610354 15584365532 19371220708 27272639681 31168731064 38742441416 54545279362 74025736277 109090558724 148051472554 218181117448 296102945108 518180153939 592205890216 1036360307878 2072720615756 4145441231512