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13211141040 = 2433531197299
BaseRepresentation
bin11000100110111001…
…00000001110110000
31021002201002111112000
430103130200032300
5204024023003130
610022532334000
7645245563116
oct142334401660
937081074460
1013211141040
11566a387889
122688474300
13132705a026
148d480bab6
15524c5c260
hex3137203b0

13211141040 has 160 divisors (see below), whose sum is σ = 46973184000. Its totient is φ = 3409309440.

The previous prime is 13211141017. The next prime is 13211141057. The reversal of 13211141040 is 4014111231.

13211141040 is a `hidden beast` number, since 1 + 3 + 211 + 1 + 410 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 31690 + ... + 165609.

It is an arithmetic number, because the mean of its divisors is an integer number (293582400).

Almost surely, 213211141040 is an apocalyptic number.

13211141040 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 13211141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486592000).

13211141040 is an abundant number, since it is smaller than the sum of its proper divisors (33762042960).

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

13211141040 is a wasteful number, since it uses less digits than its factorization.

13211141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197352 (or 197340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13211141040 its reverse (4014111231), we get a palindrome (17225252271).

The spelling of 13211141040 in words is "thirteen billion, two hundred eleven million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 197299 394598 591897 789196 986495 1183794 1578392 1775691 1972990 2367588 2959485 3156784 3551382 3945980 4735176 5327073 5918970 6116269 7102764 7891960 8878455 9470352 10654146 11837940 12232538 14205528 15783920 17756910 18348807 21308292 23675880 24465076 26635365 28411056 30581345 35513820 36697614 42616584 47351760 48930152 53270730 55046421 61162690 71027640 73395228 85233168 91744035 97860304 106541460 110092842 122325380 142055280 146790456 165139263 183488070 213082920 220185684 244650760 275232105 293580912 330278526 366976140 426165840 440371368 489301520 550464210 660557052 733952280 825696315 880742736 1100928420 1321114104 1467904560 1651392630 2201856840 2642228208 3302785260 4403713680 6605570520 13211141040