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13504402240 = 265713146021
BaseRepresentation
bin11001001001110110…
…01101001101000000
31021212010220201020221
430210323031031000
5210124111332430
610112010112424
7655436345050
oct144473151500
937763821227
1013504402240
1157aa97930a
12274a71b714
131372a38774
14921749560
1554088957a
hex324ecd340

13504402240 has 112 divisors (see below), whose sum is σ = 37032614784. Its totient is φ = 4594636800.

The previous prime is 13504402201. The next prime is 13504402277. The reversal of 13504402240 is 4220440531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270430 + ... + 316450.

Almost surely, 213504402240 is an apocalyptic number.

13504402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13504402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516307392).

13504402240 is an abundant number, since it is smaller than the sum of its proper divisors (23528212544).

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

13504402240 is a wasteful number, since it uses less digits than its factorization.

13504402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46176 (or 46166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 13504402240 its reverse (4220440531), we get a palindrome (17724842771).

The spelling of 13504402240 in words is "thirteen billion, five hundred four million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 131 140 160 224 262 280 320 448 524 560 655 917 1048 1120 1310 1834 2096 2240 2620 3668 4192 4585 5240 7336 8384 9170 10480 14672 18340 20960 29344 36680 41920 46021 58688 73360 92042 146720 184084 230105 293440 322147 368168 460210 644294 736336 920420 1288588 1472672 1610735 1840840 2577176 2945344 3221470 3681680 5154352 6028751 6442940 7363360 10308704 12057502 12885880 14726720 20617408 24115004 25771760 30143755 42201257 48230008 51543520 60287510 84402514 96460016 103087040 120575020 168805028 192920032 211006285 241150040 337610056 385840064 422012570 482300080 675220112 844025140 964600160 1350440224 1688050280 1929200320 2700880448 3376100560 6752201120 13504402240