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13300023440 = 2451117889039
BaseRepresentation
bin11000110001011111…
…00100000010010000
31021022220100012020202
430120233210002100
5204214301222230
610035425354332
7650405222354
oct143057440220
937286305222
1013300023440
115705575510
1226b21989a8
13133c5aa372
14902547464
1552c967a45
hex318be4090

13300023440 has 80 divisors (see below), whose sum is σ = 35718071040. Its totient is φ = 4551874560.

The previous prime is 13300023439. The next prime is 13300023449. The reversal of 13300023440 is 4432000331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13300023449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 429560 + ... + 459479.

It is an arithmetic number, because the mean of its divisors is an integer number (446475888).

Almost surely, 213300023440 is an apocalyptic number.

13300023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300023440 is an abundant number, since it is smaller than the sum of its proper divisors (22418047600).

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

13300023440 is a wasteful number, since it uses less digits than its factorization.

13300023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889080 (or 889074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13300023440 its reverse (4432000331), we get a palindrome (17732023771).

The spelling of 13300023440 in words is "thirteen billion, three hundred million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 889039 1778078 3556156 4445195 7112312 8890390 9779429 14224624 15113663 17780780 19558858 30227326 35561560 39117716 48897145 60454652 71123120 75568315 78235432 97794290 120909304 151136630 156470864 166250293 195588580 241818608 302273260 332500586 391177160 604546520 665001172 782354320 831251465 1209093040 1330002344 1662502930 2660004688 3325005860 6650011720 13300023440