Search a number
-
+
20400022432044 = 22331799711144557
BaseRepresentation
bin1001010001101110000000…
…00101110010100100101100
32200020020000122020112122000
410220313000011302210230
510133213221220311134
6111215350235052300
74203565400421303
oct450670005624454
980206018215560
1020400022432044
116555667920a12
1223557b22a1090
13b4c938477478
1450751b3bd43a
152559b8710e99
hex128dc017292c

20400022432044 has 96 divisors (see below), whose sum is σ = 56056235175360. Its totient is φ = 6393587198976.

The previous prime is 20400022432001. The next prime is 20400022432063. The reversal of 20400022432044 is 44023422000402.

20400022432044 is a `hidden beast` number, since 2 + 0 + 400 + 0 + 224 + 32 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20400022431999 and 20400022432017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3741787 + ... + 7402770.

It is an arithmetic number, because the mean of its divisors is an integer number (583919116410).

Almost surely, 220400022432044 is an apocalyptic number.

It is an amenable number.

20400022432044 is an abundant number, since it is smaller than the sum of its proper divisors (35656212743316).

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

20400022432044 is a wasteful number, since it uses less digits than its factorization.

20400022432044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145584 (or 11145576 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20400022432044 its reverse (44023422000402), we get a palindrome (64423444432446).

The spelling of 20400022432044 in words is "twenty trillion, four hundred billion, twenty-two million, four hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 997 1836 1994 2991 3988 5982 8973 11964 16949 17946 26919 33898 35892 50847 53838 67796 101694 107676 152541 203388 305082 457623 610164 915246 1830492 11144557 22289114 33433671 44578228 66867342 100301013 133734684 189457469 200602026 300903039 378914938 401204052 568372407 601806078 757829876 1136744814 1203612156 1705117221 2273489628 3410234442 5115351663 6820468884 10230703326 11111123329 20461406652 22222246658 33333369987 44444493316 66666739974 100000109961 133333479948 188889096593 200000219922 300000329883 377778193186 400000439844 566667289779 600000659766 755556386372 1133334579558 1200001319532 1700001869337 2266669159116 3400003738674 5100005608011 6800007477348 10200011216022 20400022432044