Search a number
-
+
400205422243232 = 25454925847106367
BaseRepresentation
bin101101011111111000001011…
…0000001111010110110100000
31221111000021010222110022000122
41122333300112001322312200
5404423431201043240412
63535055455522335412
7150203613305116544
oct13277602601726640
91844007128408018
10400205422243232
11106577191582451
1238a765aa1ba568
1314240295027578
1470b808d901a24
1531403dc613572
hex16bfc1607ada0

400205422243232 has 48 divisors (see below), whose sum is σ = 788115528345600. Its totient is φ = 200049101960448.

The previous prime is 400205422243219. The next prime is 400205422243267. The reversal of 400205422243232 is 232342224502004.

It is a super-2 number, since 2×4002054222432322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400205422243192 and 400205422243201.

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, 3762442913 + ... + 3762549279.

It is an arithmetic number, because the mean of its divisors is an integer number (16419073507200).

Almost surely, 2400205422243232 is an apocalyptic number.

It is an amenable number.

400205422243232 is a deficient number, since it is larger than the sum of its proper divisors (387910106102368).

400205422243232 is a wasteful number, since it uses less digits than its factorization.

400205422243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136773 (or 136765 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 400205422243232 its reverse (232342224502004), we get a palindrome (632547646745236).

The spelling of 400205422243232 in words is "four hundred trillion, two hundred five billion, four hundred twenty-two million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 4549 9098 18196 25847 36392 51694 72784 103388 106367 145568 206776 212734 413552 425468 827104 850936 1701872 3403744 117578003 235156006 470312012 483863483 940624024 967726966 1881248048 1935453932 2749267849 3762496096 3870907864 5498535698 7741815728 10997071396 15483631456 21994142792 43988285584 87976571168 12506419445101 25012838890202 50025677780404 100051355560808 200102711121616 400205422243232