Search a number
-
+
3402431440544 = 25195719800533
BaseRepresentation
bin110001100000110000101…
…101111010011010100000
3110001021021022000121211102
4301200300231322122200
5421221134422044134
611123015545533532
7500550265030043
oct61406055723240
913037238017742
103402431440544
1110a1a65935374
1246b4b74a42a8
131b8b03b14756
14ba96dd80c5a
155d78982437e
hex31830b7a6a0

3402431440544 has 48 divisors (see below), whose sum is σ = 7063440864480. Its totient is φ = 1608855333120.

The previous prime is 3402431440519. The next prime is 3402431440567. The reversal of 3402431440544 is 4450441342043.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3402431440498 and 3402431440507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4553099 + ... + 5247434.

It is an arithmetic number, because the mean of its divisors is an integer number (147155018010).

Almost surely, 23402431440544 is an apocalyptic number.

It is an amenable number.

3402431440544 is an abundant number, since it is smaller than the sum of its proper divisors (3661009423936).

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

3402431440544 is a wasteful number, since it uses less digits than its factorization.

3402431440544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801133 (or 9801125 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 3402431440544 its reverse (4450441342043), we get a palindrome (7852872782587).

The spelling of 3402431440544 in words is "three trillion, four hundred two billion, four hundred thirty-one million, four hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 571 608 1142 2284 4568 9136 10849 18272 21698 43396 86792 173584 347168 9800533 19601066 39202132 78404264 156808528 186210127 313617056 372420254 744840508 1489681016 2979362032 5596104343 5958724064 11192208686 22384417372 44768834744 89537669488 106325982517 179075338976 212651965034 425303930068 850607860136 1701215720272 3402431440544