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424433400001 = 13232372935693
BaseRepresentation
bin1100010110100100011…
…00111011100011000001
31111120112111022200201121
412023102030323203001
523423214422300001
6522552040432241
742443566242232
oct6132214734301
91446474280647
10424433400001
11154001653466
126a311a78681
1331040671690
14167851b9089
15b0919996a1
hex62d233b8c1

424433400001 has 48 divisors (see below), whose sum is σ = 492494695056. Its totient is φ = 363313893888.

The previous prime is 424433399987. The next prime is 424433400043. The reversal of 424433400001 is 100004334424.

It can be written as a sum of positive squares in 8 ways, for example, as 3751440001 + 420681960000 = 61249^2 + 648600^2 .

It is not a de Polignac number, because 424433400001 - 211 = 424433397953 is a prime.

It is a super-2 number, since 2×4244334000012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424433400101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74550711 + ... + 74556403.

It is an arithmetic number, because the mean of its divisors is an integer number (10260306147).

Almost surely, 2424433400001 is an apocalyptic number.

It is an amenable number.

424433400001 is a deficient number, since it is larger than the sum of its proper divisors (68061295055).

424433400001 is a wasteful number, since it uses less digits than its factorization.

424433400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 424433400001 its reverse (100004334424), we get a palindrome (524437734425).

The spelling of 424433400001 in words is "four hundred twenty-four billion, four hundred thirty-three million, four hundred thousand, one".

Divisors: 1 13 23 37 293 299 481 529 851 3809 5693 6739 6877 10841 11063 19573 74009 87607 130939 140933 154997 210641 249343 254449 1668049 1702207 2014961 2738333 3011597 3241459 4844743 5734889 21684637 38365127 39150761 61717813 62981659 74553557 111429089 498746651 802331569 882397921 1419509699 1448578157 11471172973 18453626087 32648723077 424433400001