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43413340240 = 2453759324733
BaseRepresentation
bin101000011011101000…
…110000000001010000
311011001112212012001101
4220123220300001100
51202402303341430
631535510314144
73064552206034
oct503350600120
9134045765041
1043413340240
1117458776096
1284b7058954
13412b29940a
14215ba4c1c4
1511e14c6dca
hexa1ba30050

43413340240 has 80 divisors (see below), whose sum is σ = 103843027728. Its totient is φ = 16866828288.

The previous prime is 43413340211. The next prime is 43413340253. The reversal of 43413340240 is 4204331434.

It can be written as a sum of positive squares in 8 ways, for example, as 185940496 + 43227399744 = 13636^2 + 207912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×434133402402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43413340199 and 43413340208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742914 + ... + 1767646.

Almost surely, 243413340240 is an apocalyptic number.

43413340240 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 43413340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51921513864).

43413340240 is an abundant number, since it is smaller than the sum of its proper divisors (60429687488).

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

43413340240 is a wasteful number, since it uses less digits than its factorization.

43413340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25376 (or 25370 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 43413340240 its reverse (4204331434), we get a palindrome (47617671674).

The spelling of 43413340240 in words is "forty-three billion, four hundred thirteen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 593 740 1186 1480 2372 2960 2965 4744 5930 9488 11860 21941 23720 24733 43882 47440 49466 87764 98932 109705 123665 175528 197864 219410 247330 351056 395728 438820 494660 877640 915121 989320 1755280 1830242 1978640 3660484 4575605 7320968 9151210 14641936 14666669 18302420 29333338 36604840 58666676 73209680 73333345 117333352 146666690 234666704 293333380 542666753 586666760 1085333506 1173333520 2170667012 2713333765 4341334024 5426667530 8682668048 10853335060 21706670120 43413340240