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2040404124 = 22311217131631
BaseRepresentation
bin111100110011110…
…0001100010011100
312021012101021021010
41321213201202130
513134320412444
6534244535220
7101364102033
oct17147414234
95235337233
102040404124
11957833900
1248b3b1510
13266952b25
14154db571a
15be1e42b9
hex799e189c

2040404124 has 144 divisors (see below), whose sum is σ = 5592077568. Its totient is φ = 576576000.

The previous prime is 2040404117. The next prime is 2040404203. The reversal of 2040404124 is 4214040402.

It is a self number, because there is not a number n which added to its sum of digits gives 2040404124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3233289 + ... + 3233919.

It is an arithmetic number, because the mean of its divisors is an integer number (38833872).

Almost surely, 22040404124 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 2040404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796038784).

2040404124 is an abundant number, since it is smaller than the sum of its proper divisors (3551673444).

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

2040404124 is a wasteful number, since it uses less digits than its factorization.

2040404124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2040404124 is about 45170.8326688805. The cubic root of 2040404124 is about 1268.3488833223.

Adding to 2040404124 its reverse (4214040402), we get a palindrome (6254444526).

It can be divided in two parts, 20404041 and 24, that multiplied together give a palindrome (489696984).

The spelling of 2040404124 in words is "two billion, forty million, four hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 131 132 187 204 242 262 363 374 393 484 524 561 631 726 748 786 1122 1262 1441 1452 1572 1893 2057 2227 2244 2524 2882 3786 4114 4323 4454 5764 6171 6681 6941 7572 8228 8646 8908 10727 12342 13362 13882 15851 17292 20823 21454 24497 24684 26724 27764 31702 32181 41646 42908 47553 48994 63404 64362 73491 76351 82661 83292 95106 97988 117997 128724 146982 152702 165322 190212 229053 235994 247983 269467 293964 305404 330644 353991 458106 471988 495966 538934 707982 808401 909271 916212 991932 1077868 1297967 1405237 1415964 1616802 1818542 2595934 2727813 2810474 3233604 3637084 3893901 4215711 5191868 5455626 5620948 7787802 8431422 10001981 10911252 15457607 15575604 16862844 20003962 30005943 30915214 40007924 46372821 60011886 61830428 92745642 120023772 170033677 185491284 340067354 510101031 680134708 1020202062 2040404124