Search a number
-
+
420202541545524 = 223212375199432011
BaseRepresentation
bin101111110001011000000011…
…1001110001111100000110100
32001002210222012121101012022200
41133202300013032033200310
5420034044301113424044
64045410214353224500
7154336426462463043
oct13742600716174064
92032728177335280
10420202541545524
11111986996054681
123b166098b62130
1315060c1156823a
1475a9ca933055a
15338a67461e369
hex17e2c0738f834

420202541545524 has 36 divisors (see below), whose sum is σ = 1062179617611840. Its totient is φ = 140067385814160.

The previous prime is 420202541545379. The next prime is 420202541545583. The reversal of 420202541545524 is 425545145202024.

420202541545524 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 0 + 2 + 5 + 41 + 54 + 552 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4202025415455243 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420202541545524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39834679 + ... + 49266689.

Almost surely, 2420202541545524 is an apocalyptic number.

It is an amenable number.

420202541545524 is an abundant number, since it is smaller than the sum of its proper divisors (641977076066316).

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

420202541545524 is a wasteful number, since it uses less digits than its factorization.

420202541545524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669540 (or 10669535 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 420202541545524 its reverse (425545145202024), we get a palindrome (845747686747548).

The spelling of 420202541545524 in words is "four hundred twenty trillion, two hundred two billion, five hundred forty-one million, five hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1237519 2475038 3712557 4950076 7425114 9432011 11137671 14850228 18864022 22275342 28296033 37728044 44550684 56592066 84888099 113184132 169776198 339552396 11672292820709 23344585641418 35016878462127 46689171282836 70033756924254 105050635386381 140067513848508 210101270772762 420202541545524