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13404140022 = 2372132349773
BaseRepresentation
bin11000111101111001…
…01111000111110110
31021121011020212100110
430132330233013312
5204422424440042
610054025123450
7653111211300
oct143674570766
937534225313
1013404140022
115759318879
122721029586
131358032800
149122ca970
15536b8209c
hex31ef2f1f6

13404140022 has 144 divisors (see below), whose sum is σ = 33909094800. Its totient is φ = 3520468224.

The previous prime is 13404140017. The next prime is 13404140023. The reversal of 13404140022 is 22004140431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404140023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17340028 + ... + 17340800.

It is an arithmetic number, because the mean of its divisors is an integer number (235479825).

Almost surely, 213404140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954547400).

13404140022 is an abundant number, since it is smaller than the sum of its proper divisors (20504954778).

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

13404140022 is a wasteful number, since it uses less digits than its factorization.

13404140022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13404140022 its reverse (22004140431), we get a palindrome (35408280453).

The spelling of 13404140022 in words is "thirteen billion, four hundred four million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 169 182 273 294 338 349 507 546 637 698 773 1014 1047 1183 1274 1546 1911 2094 2319 2366 2443 3549 3822 4537 4638 4886 5411 7098 7329 8281 9074 10049 10822 13611 14658 16233 16562 17101 20098 24843 27222 30147 31759 32466 34202 37877 49686 51303 58981 60294 63518 70343 75754 95277 102606 113631 117962 130637 140686 176943 190554 211029 222313 227262 261274 269777 353886 391911 412867 422058 444626 492401 539554 666939 783822 809331 825734 914459 984802 1238601 1333878 1477203 1618662 1828918 1888439 2477202 2743377 2890069 2954406 3507101 3776878 5486754 5665317 5780138 6401213 7014202 8670207 10521303 11330634 12802426 13219073 17340414 19203639 21042606 24549707 26438146 38407278 39657219 45592313 49099414 73649121 79314438 91184626 136776939 147298242 171847949 273553878 319146191 343695898 515543847 638292382 957438573 1031087694 1914877146 2234023337 4468046674 6702070011 13404140022