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8402041240 = 2351729538039
BaseRepresentation
bin1111101001100110…
…01111100110011000
3210200112220220210121
413310303033212120
5114201410304430
63505420523024
7415132113025
oct76463174630
923615826717
108402041240
113621807a3a
1217659b0474
13a3b91a848
14599c4054c
15342963a7a
hex1f4ccf998

8402041240 has 128 divisors (see below), whose sum is σ = 21100176000. Its totient is φ = 2996051968.

The previous prime is 8402041237. The next prime is 8402041253. The reversal of 8402041240 is 421402048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041141 + ... + 1049179.

It is an arithmetic number, because the mean of its divisors is an integer number (164845125).

Almost surely, 28402041240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10550088000).

8402041240 is an abundant number, since it is smaller than the sum of its proper divisors (12698134760).

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

8402041240 is a wasteful number, since it uses less digits than its factorization.

8402041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 8402041240 is about 91662.6490998378. The cubic root of 8402041240 is about 2032.9573597303.

Adding to 8402041240 its reverse (421402048), we get a palindrome (8823443288).

The spelling of 8402041240 in words is "eight billion, four hundred two million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 53 58 68 85 106 116 136 145 170 212 232 265 290 340 424 493 530 580 680 901 986 1060 1160 1537 1802 1972 2120 2465 3074 3604 3944 4505 4930 6148 7208 7685 8039 9010 9860 12296 15370 16078 18020 19720 26129 30740 32156 36040 40195 52258 61480 64312 80390 104516 130645 136663 160780 209032 233131 261290 273326 321560 426067 466262 522580 546652 683315 852134 932524 1045160 1093304 1165655 1366630 1704268 1865048 2130335 2331310 2733260 3408536 3963227 4260670 4662620 5466520 7243139 7926454 8521340 9325240 12355943 14486278 15852908 17042680 19816135 24711886 28972556 31705816 36215695 39632270 49423772 57945112 61779715 72431390 79264540 98847544 123559430 144862780 158529080 210051031 247118860 289725560 420102062 494237720 840204124 1050255155 1680408248 2100510310 4201020620 8402041240