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420122104440 = 23354398639241
BaseRepresentation
bin1100001110100010011…
…10101001001001111000
31111011102000212012001020
412013101032221021320
523340402224320230
6521000150422440
742232005652353
oct6072116511170
91434360765036
10420122104440
11152199a80285
126950a061a20
13308043c8a0c
141649679129a
15addd233810
hex61d13a9278

420122104440 has 128 divisors (see below), whose sum is σ = 1264837939200. Its totient is φ = 111635758080.

The previous prime is 420122104429. The next prime is 420122104463. The reversal of 420122104440 is 44401221024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420122104440.

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, 45458220 + ... + 45467460.

It is an arithmetic number, because the mean of its divisors is an integer number (9881546400).

Almost surely, 2420122104440 is an apocalyptic number.

420122104440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420122104440 is an abundant number, since it is smaller than the sum of its proper divisors (844715834760).

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

420122104440 is a wasteful number, since it uses less digits than its factorization.

420122104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 420122104440 its reverse (44401221024), we get a palindrome (464523325464).

The spelling of 420122104440 in words is "four hundred twenty billion, one hundred twenty-two million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 439 863 878 1317 1726 1756 2195 2589 2634 3452 3512 4315 4390 5178 5268 6585 6904 8630 8780 9241 10356 10536 12945 13170 17260 17560 18482 20712 25890 26340 27723 34520 36964 46205 51780 52680 55446 73928 92410 103560 110892 138615 184820 221784 277230 369640 378857 554460 757714 1108920 1136571 1515428 1894285 2273142 3030856 3788570 4056799 4546284 5682855 7577140 7974983 8113598 9092568 11365710 12170397 15154280 15949966 16227196 20283995 22731420 23924949 24340794 31899932 32454392 39874915 40567990 45462840 47849898 48681588 60851985 63799864 79749830 81135980 95699796 97363176 119624745 121703970 159499660 162271960 191399592 239249490 243407940 318999320 478498980 486815880 956997960 3501017537 7002035074 10503052611 14004070148 17505087685 21006105222 28008140296 35010175370 42012210444 52515263055 70020350740 84024420888 105030526110 140040701480 210061052220 420122104440