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420113543021145 = 33517450740615933
BaseRepresentation
bin101111110000101110100111…
…0011111110100001001011001
32001002111110111010221201111000
41133201131032133310021121
5420031120014003134040
64045301255230055213
7154330126143504351
oct13741351637641131
92032443433851430
10420113543021145
11111952175774a96
123b15099b64a509
13150556ca07b9ac
1475a5865445b61
1533881b6166130
hex17e174e7f4259

420113543021145 has 64 divisors (see below), whose sum is σ = 790977443639040. Its totient is φ = 210833728809984.

The previous prime is 420113543021141. The next prime is 420113543021147. The reversal of 420113543021145 is 541120345311024.

420113543021145 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 1 + 3 + 5 + 430 + 211 + 4 + 5 = 666.

It is not a de Polignac number, because 420113543021145 - 22 = 420113543021141 is a prime.

It is a super-2 number, since 2×4201135430211452 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420113543021141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9964402 + ... + 30651531.

It is an arithmetic number, because the mean of its divisors is an integer number (12359022556860).

Almost surely, 2420113543021145 is an apocalyptic number.

420113543021145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420113543021145 is a deficient number, since it is larger than the sum of its proper divisors (370863900617895).

420113543021145 is a wasteful number, since it uses less digits than its factorization.

420113543021145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40620471 (or 40620465 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 420113543021145 its reverse (541120345311024), we get a palindrome (961233888332169).

The spelling of 420113543021145 in words is "four hundred twenty trillion, one hundred thirteen billion, five hundred forty-three million, twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 4507 13521 22535 40563 67605 76619 121689 202815 229857 383095 608445 689571 1149285 2068713 3447855 10343565 40615933 121847799 203079665 365543397 609238995 690470861 1096630191 1827716985 2071412583 3452354305 5483150955 6214237749 10357062915 18642713247 31071188745 93213566235 183056010031 549168030093 915280050155 1647504090279 2745840150465 3111952170527 4942512270837 8237520451395 9335856511581 15559760852635 24712561354185 28007569534743 46679282557905 84022708604229 140037847673715 420113543021145