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13132215040 = 28573147279
BaseRepresentation
bin11000011101011110…
…11011001100000000
31020220012120122101211
430032233123030000
5203343321340130
610011032535504
7643266662140
oct141657331400
936805518354
1013132215040
11562987a58a
122665b51594
1313138b4759
148c8144920
1551cd6ba2a
hex30ebdb300

13132215040 has 144 divisors (see below), whose sum is σ = 37109882880. Its totient is φ = 4357140480.

The previous prime is 13132215023. The next prime is 13132215049. The reversal of 13132215040 is 4051223131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13132215049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254121 + ... + 301399.

It is an arithmetic number, because the mean of its divisors is an integer number (257707520).

Almost surely, 213132215040 is an apocalyptic number.

13132215040 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 13132215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554941440).

13132215040 is an abundant number, since it is smaller than the sum of its proper divisors (23977667840).

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

13132215040 is an equidigital number, since it uses as much as digits as its factorization.

13132215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47338 (or 47324 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13132215040 its reverse (4051223131), we get a palindrome (17183438171).

The spelling of 13132215040 in words is "thirteen billion, one hundred thirty-two million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 256 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1280 1736 1792 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 7936 8680 8960 9920 13888 17360 19840 27776 34720 39680 47279 55552 69440 94558 138880 189116 236395 277760 330953 378232 472790 661906 756464 945580 1323812 1465649 1512928 1654765 1891160 2647624 2931298 3025856 3309530 3782320 5295248 5862596 6051712 6619060 7328245 7564640 10259543 10590496 11725192 12103424 13238120 14656490 15129280 20519086 21180992 23450384 26476240 29312980 30258560 41038172 42361984 46900768 51297715 52952480 58625960 60517120 82076344 84723968 93801536 102595430 105904960 117251920 164152688 187603072 205190860 211809920 234503840 328305376 375206144 410381720 423619840 469007680 656610752 820763440 938015360 1313221504 1641526880 1876030720 2626443008 3283053760 6566107520 13132215040