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40302432141040 = 2451436935060227
BaseRepresentation
bin10010010100111101001000…
…01001101011111011110000
312021200212121210100121100101
421022132210021223323300
520240303340112003130
6221414403130402144
711326516560606316
oct1112364411537360
9167625553317311
1040302432141040
1111929190296993
12462aa6ab90354
131964670256684
149d49106460b6
1549d55aba01ca
hex24a7a426bef0

40302432141040 has 40 divisors (see below), whose sum is σ = 93709678602960. Its totient is φ = 16119850469376.

The previous prime is 40302432141017. The next prime is 40302432141043. The reversal of 40302432141040 is 4014123420304.

40302432141040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40302432141043) 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 7 ways as a sum of consecutive naturals, for example, 16380594 + ... + 18679633.

It is an arithmetic number, because the mean of its divisors is an integer number (2342741965074).

Almost surely, 240302432141040 is an apocalyptic number.

40302432141040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40302432141040 is an abundant number, since it is smaller than the sum of its proper divisors (53407246461920).

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

40302432141040 is a wasteful number, since it uses less digits than its factorization.

40302432141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35074609 (or 35074603 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40302432141040 its reverse (4014123420304), we get a palindrome (44316555561344).

The spelling of 40302432141040 in words is "forty trillion, three hundred two billion, four hundred thirty-two million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14369 28738 57476 71845 114952 143690 229904 287380 574760 1149520 35060227 70120454 140240908 175301135 280481816 350602270 560963632 701204540 1402409080 2804818160 503780401763 1007560803526 2015121607052 2518902008815 4030243214104 5037804017630 8060486428208 10075608035260 20151216070520 40302432141040