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13404442302 = 23717712539
BaseRepresentation
bin11000111101111011…
…11000111010111110
31021121011211020000000
430132331320322332
5204423014123202
610054035415130
7653113610466
oct143675707276
937534736000
1013404442302
115759504999
1227211544a6
13135810a284
14912368ba6
15536be191c
hex31ef78ebe

13404442302 has 128 divisors (see below), whose sum is σ = 32391705600. Its totient is φ = 4144452480.

The previous prime is 13404442267. The next prime is 13404442309. The reversal of 13404442302 is 20324440431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404442309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5278149 + ... + 5280687.

It is an arithmetic number, because the mean of its divisors is an integer number (253060200).

Almost surely, 213404442302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404442302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195852800).

13404442302 is an abundant number, since it is smaller than the sum of its proper divisors (18987263298).

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

13404442302 is an equidigital number, since it uses as much as digits as its factorization.

13404442302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13404442302 its reverse (20324440431), we get a palindrome (33728882733).

The spelling of 13404442302 in words is "thirteen billion, four hundred four million, four hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 81 102 142 153 162 213 243 306 426 459 486 639 729 918 1207 1278 1377 1458 1917 2187 2414 2539 2754 3621 3834 4131 4374 5078 5751 7242 7617 8262 10863 11502 12393 15234 17253 21726 22851 24786 32589 34506 37179 43163 45702 51759 65178 68553 74358 86326 97767 103518 129489 137106 155277 180269 195534 205659 258978 293301 310554 360538 388467 411318 540807 586602 616977 776934 879903 1081614 1165401 1233954 1622421 1759806 1850931 2330802 2639709 3064573 3244842 3496203 3701862 4867263 5279418 5552793 6129146 6992406 9193719 9734526 10488609 11105586 14601789 18387438 20977218 27581157 29203578 31465827 43805367 55162314 62931654 82743471 87610734 94397481 131416101 165486942 188794962 248230413 262832202 394248303 496460826 744691239 788496606 1489382478 2234073717 4468147434 6702221151 13404442302