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430113142004 = 2271331151252431
BaseRepresentation
bin1100100001001001011…
…11011011010011110100
31112010012022202111000112
412100210233123103310
524021332431021004
6525331413202152
743034414245640
oct6204457332364
91463168674015
10430113142004
11156456723717
126b438030358
1331737298970
1416b6365dc20
15b2c5420e6e
hex6424bdb4f4

430113142004 has 96 divisors (see below), whose sum is σ = 962618130432. Its totient is φ = 163574640000.

The previous prime is 430113141971. The next prime is 430113142007. The reversal of 430113142004 is 400241311034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430113142007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577669 + ... + 1830099.

It is an arithmetic number, because the mean of its divisors is an integer number (10027272192).

Almost surely, 2430113142004 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 430113142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481309065216).

430113142004 is an abundant number, since it is smaller than the sum of its proper divisors (532504988428).

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

430113142004 is a wasteful number, since it uses less digits than its factorization.

430113142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252637 (or 252635 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 430113142004 its reverse (400241311034), we get a palindrome (830354453038).

The spelling of 430113142004 in words is "four hundred thirty billion, one hundred thirteen million, one hundred forty-two thousand, four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 151 182 217 302 364 403 434 604 806 868 1057 1612 1963 2114 2821 3926 4228 4681 5642 7852 9362 11284 13741 18724 27482 32767 54964 60853 65534 121706 131068 243412 252431 425971 504862 851942 1009724 1703884 1767017 3281603 3534034 6563206 7068068 7825361 13126412 15650722 22971221 31301444 38117081 45942442 54777527 76234162 91884884 101729693 109555054 152468324 203459386 219110108 266819567 406918772 495522053 533639134 712107851 991044106 1067278268 1181629511 1424215702 1982088212 2363259022 2848431404 3468654371 4726518044 6937308742 8271406577 13874617484 15361183643 16542813154 30722367286 33085626308 61444734572 107528285501 215056571002 430113142004