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13241320440 = 2335592298167
BaseRepresentation
bin11000101010011111…
…01000001111111000
31021011210212202212120
430111033220033320
5204104234223230
610025531241240
7646063236525
oct142517501770
937153782776
1013241320440
115685420037
1226965a9220
13133039586a
148d882614c
1552771e310
hex3153e83f8

13241320440 has 128 divisors (see below), whose sum is σ = 40578624000. Its totient is φ = 3455589888.

The previous prime is 13241320397. The next prime is 13241320487. The reversal of 13241320440 is 4402314231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13241320440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617237 + ... + 1625403.

It is an arithmetic number, because the mean of its divisors is an integer number (317020500).

Almost surely, 213241320440 is an apocalyptic number.

13241320440 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 13241320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20289312000).

13241320440 is an abundant number, since it is smaller than the sum of its proper divisors (27337303560).

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

13241320440 is a wasteful number, since it uses less digits than its factorization.

13241320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13241320440 its reverse (4402314231), we get a palindrome (17643634671).

The spelling of 13241320440 in words is "thirteen billion, two hundred forty-one million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 229 236 295 354 458 472 590 687 708 885 916 1145 1180 1374 1416 1770 1832 2290 2360 2748 3435 3540 4580 5496 6870 7080 8167 9160 13511 13740 16334 24501 27022 27480 32668 40533 40835 49002 54044 65336 67555 81066 81670 98004 108088 122505 135110 162132 163340 196008 202665 245010 270220 324264 326680 405330 481853 490020 540440 810660 963706 980040 1445559 1621320 1870243 1927412 2409265 2891118 3740486 3854824 4818530 5610729 5782236 7227795 7480972 9351215 9637060 11221458 11564472 14455590 14961944 18702430 19274120 22442916 28053645 28911180 37404860 44885832 56107290 57822360 74809720 110344337 112214580 220688674 224429160 331033011 441377348 551721685 662066022 882754696 1103443370 1324132044 1655165055 2206886740 2648264088 3310330110 4413773480 6620660220 13241320440