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424321441332 = 2237310313135899
BaseRepresentation
bin1100010110010111000…
…01110101111000110100
31111120020200122121022020
412023023201311320310
523423002242110312
6522533001033140
742441036512145
oct6131341657064
91446220577266
10424321441332
11153a54434238
126a2a04857b0
1331023401949
1416774393acc
15b086c3178c
hex62cb875e34

424321441332 has 96 divisors (see below), whose sum is σ = 1021154534400. Its totient is φ = 137090154240.

The previous prime is 424321441319. The next prime is 424321441351. The reversal of 424321441332 is 233144123424.

424321441332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424321441293 and 424321441302.

It is a congruent number.

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, 11801919 + ... + 11837817.

It is an arithmetic number, because the mean of its divisors is an integer number (10637026400).

Almost surely, 2424321441332 is an apocalyptic number.

It is an amenable number.

424321441332 is an abundant number, since it is smaller than the sum of its proper divisors (596833093068).

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

424321441332 is a wasteful number, since it uses less digits than its factorization.

424321441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36213 (or 36211 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 424321441332 its reverse (233144123424), we get a palindrome (657465564756).

The spelling of 424321441332 in words is "four hundred twenty-four billion, three hundred twenty-one million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 73 103 131 146 206 219 262 292 309 393 412 438 524 618 786 876 1236 1572 7519 9563 13493 15038 19126 22557 26986 28689 30076 35899 38252 40479 45114 53972 57378 71798 80958 90228 107697 114756 143596 161916 215394 430788 984989 1969978 2620627 2954967 3697597 3939956 4702769 5241254 5909934 7395194 7861881 9405538 10482508 11092791 11819868 14108307 14790388 15723762 18811076 22185582 28216614 31447524 44371164 56433228 269924581 343302137 484385207 539849162 686604274 809773743 968770414 1029906411 1079698324 1373208548 1453155621 1619547486 1937540828 2059812822 2906311242 3239094972 4119625644 5812622484 35360120111 70720240222 106080360333 141440480444 212160720666 424321441332