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42452402144 = 2529301115193
BaseRepresentation
bin100111100010010111…
…000011111111100000
311001120120200110210112
4213202113003333200
51143420303332034
631300302150452
73032003315165
oct474227037740
9131516613715
1042452402144
1117005302079
128289282428
134007187aa9
1420aa18c06c
151186e5e7ce
hex9e25c3fe0

42452402144 has 48 divisors (see below), whose sum is σ = 86494579920. Its totient is φ = 20486108160.

The previous prime is 42452402093. The next prime is 42452402149. The reversal of 42452402144 is 44120425424.

It is a super-3 number, since 3×424524021443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42452402144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42452402149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2786612 + ... + 2801804.

It is an arithmetic number, because the mean of its divisors is an integer number (1801970415).

Almost surely, 242452402144 is an apocalyptic number.

It is an amenable number.

42452402144 is an abundant number, since it is smaller than the sum of its proper divisors (44042177776).

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

42452402144 is a wasteful number, since it uses less digits than its factorization.

42452402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18243 (or 18235 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 42452402144 its reverse (44120425424), we get a palindrome (86572827568).

The spelling of 42452402144 in words is "forty-two billion, four hundred fifty-two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 3011 6022 12044 15193 24088 30386 48176 60772 87319 96352 121544 174638 243088 349276 440597 486176 698552 881194 1397104 1762388 2794208 3524776 7049552 14099104 45746123 91492246 182984492 365968984 731937968 1326637567 1463875936 2653275134 5306550268 10613100536 21226201072 42452402144