Search a number
-
+
10400014220424 = 2331922807048729
BaseRepresentation
bin1001011101010111000100…
…1001110011110010001000
31100211020020212120002120120
42113111301021303302020
52330343212120023144
634041411154023240
72122243022203263
oct227256111636210
940736225502516
1010400014220424
11334a691999434
1211bb713877b20
135a59427053ca
1427d513153cda
151307dcbe9e19
hex97571273c88

10400014220424 has 32 divisors (see below), whose sum is σ = 27368458476000. Its totient is φ = 3284215016832.

The previous prime is 10400014220423. The next prime is 10400014220467. The reversal of 10400014220424 is 42402241000401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10400014220394 and 10400014220403.

It is not an unprimeable number, because it can be changed into a prime (10400014220423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11403523909 + ... + 11403524820.

It is an arithmetic number, because the mean of its divisors is an integer number (855264327375).

Almost surely, 210400014220424 is an apocalyptic number.

It is an amenable number.

10400014220424 is an abundant number, since it is smaller than the sum of its proper divisors (16968444255576).

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

10400014220424 is a wasteful number, since it uses less digits than its factorization.

10400014220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807048757 (or 22807048753 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10400014220424 its reverse (42402241000401), we get a palindrome (52802255220825).

The spelling of 10400014220424 in words is "ten trillion, four hundred billion, fourteen million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 22807048729 45614097458 68421146187 91228194916 136842292374 182456389832 273684584748 433333925851 547369169496 866667851702 1300001777553 1733335703404 2600003555106 3466671406808 5200007110212 10400014220424