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434011140003 = 37175967307543
BaseRepresentation
bin1100101000011010001…
…01000110111110100011
31112111020222112022000210
412110031011012332203
524102323322440003
6531214300545203
743233125551410
oct6241505067643
91474228468023
10434011140003
11158076a79271
1270145552203
1331c08a2555c
1417013221107
15b452748503
hex650d146fa3

434011140003 has 64 divisors (see below), whose sum is σ = 722753003520. Its totient is φ = 226035988992.

The previous prime is 434011139983. The next prime is 434011140019. The reversal of 434011140003 is 300041110434.

It is not a de Polignac number, because 434011140003 - 28 = 434011139747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (434011140023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257450 + ... + 1564992.

It is an arithmetic number, because the mean of its divisors is an integer number (11293015680).

Almost surely, 2434011140003 is an apocalyptic number.

434011140003 is a deficient number, since it is larger than the sum of its proper divisors (288741863517).

434011140003 is a wasteful number, since it uses less digits than its factorization.

434011140003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307696.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 434011140003 its reverse (300041110434), we get a palindrome (734052250437).

The spelling of 434011140003 in words is "four hundred thirty-four billion, eleven million, one hundred forty thousand, three".

Divisors: 1 3 7 17 21 51 59 67 119 177 201 357 413 469 1003 1139 1239 1407 3009 3417 3953 7021 7973 11859 21063 23919 27671 67201 83013 201603 307543 470407 922629 1411221 2152801 5228231 6458403 15684693 18145037 20605381 36597617 54435111 61816143 109792851 127015259 144237667 308465629 350291477 381045777 432713001 925396887 1050874431 1215717479 2159259403 2452040339 3647152437 6477778209 7356121017 8510022353 20667197143 25530067059 62001591429 144670380001 434011140003