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423140424224 = 2573162119811
BaseRepresentation
bin1100010100001010010…
…00100111101000100000
31111110012101100201101212
412022011020213220200
523413042422033344
6522215451445252
742366546155450
oct6120510475040
91443171321355
10423140424224
111534a8813641
126a010a56828
1330b9582595b
14166a15a5d60
15b0181e579e
hex6285227a20

423140424224 has 96 divisors (see below), whose sum is σ = 983036178432. Its totient is φ = 175449888000.

The previous prime is 423140424211. The next prime is 423140424253. The reversal of 423140424224 is 422424041324.

It is a super-2 number, since 2×4231404242242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 43124279 + ... + 43134089.

It is an arithmetic number, because the mean of its divisors is an integer number (10239960192).

Almost surely, 2423140424224 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 423140424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491518089216).

423140424224 is an abundant number, since it is smaller than the sum of its proper divisors (559895754208).

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

423140424224 is a wasteful number, since it uses less digits than its factorization.

423140424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16070 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 423140424224 its reverse (422424041324), we get a palindrome (845564465548).

The spelling of 423140424224 in words is "four hundred twenty-three billion, one hundred forty million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6211 6944 9811 12422 19622 24844 39244 43477 49688 68677 78488 86954 99376 137354 156976 173908 192541 198752 274708 304141 313952 347816 385082 549416 608282 695632 770164 1098832 1216564 1347787 1391264 1540328 2128987 2197664 2433128 2695574 3080656 4257974 4866256 5391148 6161312 8515948 9732512 10782296 17031896 21564592 34063792 43129184 60936121 68127584 121872242 243744484 426552847 487488968 853105694 974977936 1706211388 1889019751 1949955872 3412422776 3778039502 6824845552 7556079004 13223138257 13649691104 15112158008 26446276514 30224316016 52892553028 60448632032 105785106056 211570212112 423140424224