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423223077640 = 235116128975443
BaseRepresentation
bin1100010100010100000…
…11111010101100001000
31111110102010212221120111
412022022003322230020
523413230101441030
6522232003204104
742401601542506
oct6121203725410
91443363787514
10423223077640
11153540437350
126a034676634
1330ba99a49bc
14166ac55d676
15b0205c062a
hex628a0fab08

423223077640 has 128 divisors (see below), whose sum is σ = 1056408635520. Its totient is φ = 151296307200.

The previous prime is 423223077623. The next prime is 423223077653. The reversal of 423223077640 is 46770322324.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 423223077593 and 423223077602.

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, 77752759 + ... + 77758201.

It is an arithmetic number, because the mean of its divisors is an integer number (8253192465).

Almost surely, 2423223077640 is an apocalyptic number.

423223077640 is a gapful number since it is divisible by the number (40) 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 423223077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528204317760).

423223077640 is an abundant number, since it is smaller than the sum of its proper divisors (633185557880).

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

423223077640 is a wasteful number, since it uses less digits than its factorization.

423223077640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

Adding to 423223077640 its reverse (46770322324), we get a palindrome (469993399964).

The spelling of 423223077640 in words is "four hundred twenty-three billion, two hundred twenty-three million, seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 2897 3355 5368 5443 5794 6710 10886 11588 13420 14485 21772 23176 26840 27215 28970 31867 43544 54430 57940 59873 63734 108860 115880 119746 127468 159335 176717 217720 239492 254936 299365 318670 332023 353434 478984 598730 637340 664046 706868 883585 1197460 1274680 1328092 1413736 1660115 1767170 1943887 2394920 2656184 3320230 3534340 3652253 3887774 6640460 7068680 7304506 7775548 9719435 13280920 14609012 15551096 15768371 18261265 19438870 29218024 31536742 36522530 38877740 63073484 73045060 77755480 78841855 126146968 146090120 157683710 173452081 315367420 346904162 630734840 693808324 867260405 961870631 1387616648 1734520810 1923741262 3469041620 3847482524 4809353155 6938083240 7694965048 9618706310 10580576941 19237412620 21161153882 38474825240 42322307764 52902884705 84644615528 105805769410 211611538820 423223077640