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42131402144 = 2513971044097
BaseRepresentation
bin100111001111001110…
…100010110110100000
311000202012122222120122
4213033032202312200
51142241114332034
631204354055412
73021025003136
oct471716426640
9130665588518
1042131402144
1116960095017
1281b987a568
133c85816670
1420796ad756
151168ba362e
hex9cf3a2da0

42131402144 has 48 divisors (see below), whose sum is σ = 90247654728. Its totient is φ = 19244777472.

The previous prime is 42131402119. The next prime is 42131402177. The reversal of 42131402144 is 44120413124.

42131402144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12405504400 + 29725897744 = 111380^2 + 172412^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 481697 + ... + 562400.

Almost surely, 242131402144 is an apocalyptic number.

It is an amenable number.

42131402144 is an abundant number, since it is smaller than the sum of its proper divisors (48116252584).

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

42131402144 is a wasteful number, since it uses less digits than its factorization.

42131402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044217 (or 1044209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 42131402144 its reverse (44120413124), we get a palindrome (86251815268).

The spelling of 42131402144 in words is "forty-two billion, one hundred thirty-one million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 3104 5044 10088 20176 40352 1044097 2088194 4176388 8352776 13573261 16705552 27146522 33411104 54293044 101277409 108586088 202554818 217172176 405109636 434344352 810219272 1316606317 1620438544 2633212634 3240877088 5266425268 10532850536 21065701072 42131402144