Search a number
-
+
42022240400 = 2452715007943
BaseRepresentation
bin100111001000101110…
…001000000010010000
311000110121020222211002
4213020232020002100
51142030143143100
631145454241132
73015231102260
oct471056100220
9130417228732
1042022240400
11169045061a8
1281891b61a8
133c69015a0a
142068db57a0
15115e2de2d5
hex9c8b88090

42022240400 has 60 divisors (see below), whose sum is σ = 115381073472. Its totient is φ = 14407624320.

The previous prime is 42022240349. The next prime is 42022240409. The reversal of 42022240400 is 404222024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42022240409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7501172 + ... + 7506771.

Almost surely, 242022240400 is an apocalyptic number.

42022240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022240400 is an abundant number, since it is smaller than the sum of its proper divisors (73358833072).

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

42022240400 is a wasteful number, since it uses less digits than its factorization.

42022240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007968 (or 15007957 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42022240400 its reverse (404222024), we get a palindrome (42426462424).

The spelling of 42022240400 in words is "forty-two billion, twenty-two million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 15007943 30015886 60031772 75039715 105055601 120063544 150079430 210111202 240127088 300158860 375198575 420222404 525278005 600317720 750397150 840444808 1050556010 1200635440 1500794300 1680889616 2101112020 2626390025 3001588600 4202224040 5252780050 6003177200 8404448080 10505560100 21011120200 42022240400