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145505034216 = 23325213878893
BaseRepresentation
bin1000011110000011000…
…1101001111111101000
3111220120111101121000100
42013200301221333220
54340443242043331
6150502153505400
713340515245513
oct2074061517750
9456514347010
10145505034216
11567878868a3
1224249412260
131094b2491a9
1470847d5d7a
153bb9187ae6
hex21e0c69fe8

145505034216 has 48 divisors (see below), whose sum is σ = 394832620260. Its totient is φ = 48408572160.

The previous prime is 145505034197. The next prime is 145505034221. The reversal of 145505034216 is 612430505541.

145505034216 is a `hidden beast` number, since 1 + 4 + 550 + 50 + 3 + 42 + 16 = 666.

145505034216 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 2 ways, for example, as 138049402500 + 7455631716 = 371550^2 + 86346^2 .

It is a super-3 number, since 3×1455050342163 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1901935 + ... + 1976958.

Almost surely, 2145505034216 is an apocalyptic number.

It is an amenable number.

145505034216 is an abundant number, since it is smaller than the sum of its proper divisors (249327586044).

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

145505034216 is a wasteful number, since it uses less digits than its factorization.

145505034216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879426 (or 3879419 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 145505034216 its reverse (612430505541), we get a palindrome (757935539757).

The spelling of 145505034216 in words is "one hundred forty-five billion, five hundred five million, thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 521 1042 1563 2084 3126 4168 4689 6252 9378 12504 18756 37512 3878893 7757786 11636679 15515572 23273358 31031144 34910037 46546716 69820074 93093432 139640148 279280296 2020903253 4041806506 6062709759 8083613012 12125419518 16167226024 18188129277 24250839036 36376258554 48501678072 72752517108 145505034216