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43980465111040 = 2435
BaseRepresentation
bin10100000000000000000000…
…00000000000000000000000
312202201111021020021112101201
422000000000000000000000
521231033443032023130
6233312202521510544
712156324632166613
oct1200000000000000
9182644236245351
1043980465111040
1113017012a94507
124b23860942454
131b704561762b3
14ac094720617a
15514075bd1bca
hex280000000000

43980465111040 has 88 divisors (see below), whose sum is σ = 105553116266490. Its totient is φ = 17592186044416.

The previous prime is 43980465111013. The next prime is 43980465111043. The reversal of 43980465111040 is 4011156408934.

It can be written as a sum of positive squares in only one way, i.e., 39582418599936 + 4398046511104 = 6291456^2 + 2097152^2 .

It is an ABA number since it can be written as A⋅BA, here for A=40, B=2.

It is a super-2 number, since 2×439804651110402 (a number of 28 digits) contains 22 as substring.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (43980465111043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 43980465111040 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8796093022206 + ... + 8796093022210.

Almost surely, 243980465111040 is an apocalyptic number.

43980465111040 is a gapful number since it is divisible by the number (40) 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 43980465111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52776558133245).

43980465111040 is an abundant number, since it is smaller than the sum of its proper divisors (61572651155450).

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

43980465111040 is an frugal number, since it uses more digits than its factorization.

43980465111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 43980465111040 in words is "forty-three trillion, nine hundred eighty billion, four hundred sixty-five million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 65536 81920 131072 163840 262144 327680 524288 655360 1048576 1310720 2097152 2621440 4194304 5242880 8388608 10485760 16777216 20971520 33554432 41943040 67108864 83886080 134217728 167772160 268435456 335544320 536870912 671088640 1073741824 1342177280 2147483648 2684354560 4294967296 5368709120 8589934592 10737418240 17179869184 21474836480 34359738368 42949672960 68719476736 85899345920 137438953472 171798691840 274877906944 343597383680 549755813888 687194767360 1099511627776 1374389534720 2199023255552 2748779069440 4398046511104 5497558138880 8796093022208 10995116277760 21990232555520 43980465111040