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13013344240 = 2451341833677
BaseRepresentation
bin11000001111010011…
…11101111111110000
31020120220220101022121
430013221331333300
5203122404003430
65551145044024
7640324413061
oct140751757760
936526811277
1013013344240
11557876a156
122632186614
1312c50947c0
148b6440568
155126daa7a
hex307a7dff0

13013344240 has 160 divisors (see below), whose sum is σ = 33789462336. Its totient is φ = 4629995520.

The previous prime is 13013344237. The next prime is 13013344247. The reversal of 13013344240 is 4244331031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013344247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537282 + ... + 3540958.

Almost surely, 213013344240 is an apocalyptic number.

13013344240 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 13013344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894731168).

13013344240 is an abundant number, since it is smaller than the sum of its proper divisors (20776118096).

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

13013344240 is a wasteful number, since it uses less digits than its factorization.

13013344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13013344240 its reverse (4244331031), we get a palindrome (17257675271).

The spelling of 13013344240 in words is "thirteen billion, thirteen million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 83 104 130 164 166 205 208 260 328 332 410 415 520 533 656 664 820 830 1040 1066 1079 1328 1640 1660 2132 2158 2665 3280 3320 3403 3677 4264 4316 5330 5395 6640 6806 7354 8528 8632 10660 10790 13612 14708 17015 17264 18385 21320 21580 27224 29416 34030 36770 42640 43160 44239 47801 54448 58832 68060 73540 86320 88478 95602 136120 147080 150757 176956 191204 221195 239005 272240 294160 301514 305191 353912 382408 442390 478010 603028 610382 707824 753785 764816 884780 956020 1206056 1220764 1507570 1525955 1769560 1912040 1959841 2412112 2441528 3015140 3051910 3539120 3824080 3919682 3967483 4883056 6030280 6103820 7839364 7934966 9799205 12060560 12207640 12512831 15678728 15869932 19598410 19837415 24415280 25025662 31357456 31739864 39196820 39674830 50051324 62564155 63479728 78393640 79349660 100102648 125128310 156787280 158699320 162666803 200205296 250256620 317398640 325333606 500513240 650667212 813334015 1001026480 1301334424 1626668030 2602668848 3253336060 6506672120 13013344240