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11434998420 = 223457058641
BaseRepresentation
bin10101010011001010…
…00011101010010100
31002111220222002220000
422221211003222110
5141404324422140
65130403411300
7553240611546
oct125145035224
932456862800
1011434998420
11493883861a
122271683b30
1311030a1071
147a6985696
1546dd67a30
hex2a9943a94

11434998420 has 60 divisors (see below), whose sum is σ = 35872018644. Its totient is φ = 3049332480.

The previous prime is 11434998409. The next prime is 11434998469. The reversal of 11434998420 is 2489943411.

11434998420 is a `hidden beast` number, since 114 + 3 + 499 + 8 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2261573136 + 9173425284 = 47556^2 + 95778^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3527701 + ... + 3530940.

Almost surely, 211434998420 is an apocalyptic number.

11434998420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434998420 is an abundant number, since it is smaller than the sum of its proper divisors (24437020224).

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

11434998420 is a wasteful number, since it uses less digits than its factorization.

11434998420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058662 (or 7058651 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11434998420 in words is "eleven billion, four hundred thirty-four million, nine hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7058641 14117282 21175923 28234564 35293205 42351846 63527769 70586410 84703692 105879615 127055538 141172820 190583307 211759230 254111076 317638845 381166614 423518460 571749921 635277690 762333228 952916535 1143499842 1270555380 1905833070 2286999684 2858749605 3811666140 5717499210 11434998420