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13320232413040 = 24571713121106637
BaseRepresentation
bin1100000111010101101110…
…1110001010011101110000
31202011101211220021122000201
43001311123232022131300
53221214313444204130
644155121424324544
72543232530244010
oct301653356123560
952141756248021
1013320232413040
114276095a37403
1215b1672a73754
13758128387357
143409ba26bc40
151817531bebca
hexc1d5bb8a770

13320232413040 has 160 divisors (see below), whose sum is σ = 37478953943424. Its totient is φ = 4297925591040.

The previous prime is 13320232412987. The next prime is 13320232413041. The reversal of 13320232413040 is 4031423202331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320232413041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124858602 + ... + 124965238.

Almost surely, 213320232413040 is an apocalyptic number.

13320232413040 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 13320232413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739476971712).

13320232413040 is an abundant number, since it is smaller than the sum of its proper divisors (24158721530384).

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

13320232413040 is a wasteful number, since it uses less digits than its factorization.

13320232413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119795 (or 119789 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13320232413040 its reverse (4031423202331), we get a palindrome (17351655615371).

The spelling of 13320232413040 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 13121 26242 52484 65605 91847 104968 106637 131210 183694 209936 213274 223057 262420 367388 426548 446114 459235 524840 533185 734776 746459 853096 892228 918470 1049680 1066370 1115285 1469552 1492918 1561399 1706192 1784456 1812829 1836940 2132740 2230570 2985836 3122798 3568912 3625658 3673880 3732295 4265480 4461140 5971672 6245596 7251316 7347760 7464590 7806995 8530960 8922280 9064145 11943344 12491192 12689803 14502632 14929180 15613990 17844560 18128290 24982384 25379606 29005264 29858360 31227980 36256580 50759212 59716720 62455960 63449015 72513160 101518424 124911920 126898030 145026320 203036848 253796060 507592120 1015184240 1399184077 2798368154 5596736308 6995920385 9794288539 11193472616 13991840770 19588577078 22386945232 23786129309 27983681540 39177154156 47572258618 48971442695 55967363080 78354308312 95144517236 97942885390 111934726160 118930646545 156708616624 166502905163 190289034472 195885770780 237861293090 333005810326 380578068944 391771541560 475722586180 666011620652 783543083120 832514525815 951445172360 1332023241304 1665029051630 1902890344720 2664046482608 3330058103260 6660116206520 13320232413040