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11434403330 = 2572291137121
BaseRepresentation
bin10101010011000101…
…10010011000000010
31002111212211212120122
422221202302120002
5141404201401310
65130342540242
7553232552600
oct125142623002
932455755518
1011434403330
114938471509
122271437682
131102c2323c
147a686c870
1546dc9b555
hex2a98b2602

11434403330 has 96 divisors (see below), whose sum is σ = 24990528240. Its totient is φ = 3751157760.

The previous prime is 11434403329. The next prime is 11434403353. The reversal of 11434403330 is 3330443411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79156609 + 11355246721 = 8897^2 + 106561^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11434403330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602170 + ... + 1609290.

Almost surely, 211434403330 is an apocalyptic number.

11434403330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11434403330 is an abundant number, since it is smaller than the sum of its proper divisors (13556124910).

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

11434403330 is a wasteful number, since it uses less digits than its factorization.

11434403330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 11434403330 its reverse (3330443411), we get a palindrome (14764846741).

The spelling of 11434403330 in words is "eleven billion, four hundred thirty-four million, four hundred three thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 113 145 203 226 245 290 406 490 565 791 1015 1130 1421 1582 2030 2842 3277 3955 5537 6554 7105 7121 7910 11074 14210 14242 16385 22939 27685 32770 35605 45878 49847 55370 71210 99694 114695 160573 206509 229390 249235 321146 348929 413018 498470 697858 802865 804673 1032545 1445563 1605730 1609346 1744645 2065090 2891126 3489290 4023365 5632711 7227815 8046730 10118941 11265422 14455630 20237882 23335517 28163555 39428977 46671034 50594705 56327110 78857954 101189410 116677585 163348619 197144885 233355170 326697238 394289770 816743095 1143440333 1633486190 2286880666 5717201665 11434403330