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423314140224 = 2635982945077
BaseRepresentation
bin1100010100011110111…
…11010010110001000000
31111110122111020101221210
412022033133102301000
523413421404441344
6522245015050120
742404055552213
oct6121737226100
91443574211853
10423314140224
11153587883a88
126a05b070940
1330bc28094a1
14166ba6a577a
15b0285abdb9
hex628f7d2c40

423314140224 has 112 divisors (see below), whose sum is σ = 1140401275200. Its totient is φ = 138542708736.

The previous prime is 423314140187. The next prime is 423314140231. The reversal of 423314140224 is 422041413324.

It is a super-2 number, since 2×4233141402242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423314140191 and 423314140200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9368374 + ... + 9413450.

Almost surely, 2423314140224 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 423314140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570200637600).

423314140224 is an abundant number, since it is smaller than the sum of its proper divisors (717087134976).

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

423314140224 is a wasteful number, since it uses less digits than its factorization.

423314140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45980 (or 45970 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 423314140224 its reverse (422041413324), we get a palindrome (845355553548).

The spelling of 423314140224 in words is "four hundred twenty-three billion, three hundred fourteen million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 829 944 1416 1658 1888 2487 2832 3316 3776 4974 5664 6632 9948 11328 13264 19896 26528 39792 45077 48911 53056 79584 90154 97822 135231 146733 159168 180308 195644 270462 293466 360616 391288 540924 586932 721232 782576 1081848 1173864 1442464 1565152 2163696 2347728 2659543 2884928 3130304 4327392 4695456 5319086 7978629 8654784 9390912 10638172 15957258 21276344 31914516 37368833 42552688 63829032 74737666 85105376 112106499 127658064 149475332 170210752 224212998 255316128 298950664 448425996 510632256 597901328 896851992 1195802656 1793703984 2204761147 2391605312 3587407968 4409522294 6614283441 7174815936 8819044588 13228566882 17638089176 26457133764 35276178352 52914267528 70552356704 105828535056 141104713408 211657070112 423314140224