Search a number
-
+
420272523045 = 32579311380129
BaseRepresentation
bin1100001110110100011…
…00011100011100100101
31111011210111220020120200
412013122030130130211
523341204231214140
6521023122421113
742235513334514
oct6073214343445
91434714806520
10420272523045
11152266978a81
1269550501799
13308296132cb
14164ac74867b
15adeb547030
hex61da31c725

420272523045 has 48 divisors (see below), whose sum is σ = 740067494400. Its totient is φ = 220595880960.

The previous prime is 420272523019. The next prime is 420272523059. The reversal of 420272523045 is 540325272024.

420272523045 is a `hidden beast` number, since 4 + 20 + 2 + 72 + 523 + 0 + 45 = 666.

It is not a de Polignac number, because 420272523045 - 228 = 420004087589 is a prime.

It is a super-2 number, since 2×4202725230452 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 915541 + ... + 1295669.

It is an arithmetic number, because the mean of its divisors is an integer number (15418072800).

Almost surely, 2420272523045 is an apocalyptic number.

420272523045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420272523045 is a deficient number, since it is larger than the sum of its proper divisors (319794971355).

420272523045 is a wasteful number, since it uses less digits than its factorization.

420272523045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380530 (or 380527 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 420272523045 its reverse (540325272024), we get a palindrome (960597795069).

The spelling of 420272523045 in words is "four hundred twenty billion, two hundred seventy-two million, five hundred twenty-three thousand, forty-five".

Divisors: 1 3 5 9 15 45 79 237 311 395 711 933 1185 1555 2799 3555 4665 13995 24569 73707 122845 221121 368535 380129 1105605 1140387 1900645 3421161 5701935 17105805 30030191 90090573 118220119 150150955 270271719 354660357 450452865 591100595 1063981071 1351358595 1773301785 5319905355 9339389401 28018168203 46696947005 84054504609 140090841015 420272523045