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420221431555434 = 232191228717636127
BaseRepresentation
bin101111110001100000110110…
…1001001111010010101101010
32001002212202222002021010102100
41133203001231021322111222
5420034401442434233214
64045423021031514230
7154340665546065165
oct13743015511722552
92032782862233370
10420221431555434
111119939a9a65713
123b16988b228976
1315062931ca4cb2
1475aab7c036adc
15338adccbce309
hex17e306d27a56a

420221431555434 has 24 divisors (see below), whose sum is σ = 958399756179840. Its totient is φ = 132701504701608.

The previous prime is 420221431555433. The next prime is 420221431555463. The reversal of 420221431555434 is 434555134122024.

420221431555434 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 21 + 4 + 31 + 55 + 543 + 4 = 666.

It is a super-2 number, since 2×4202214315554342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420221431555434.

It is not an unprimeable number, because it can be changed into a prime (420221431555433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614358817722 + ... + 614358818405.

It is an arithmetic number, because the mean of its divisors is an integer number (39933323174160).

Almost surely, 2420221431555434 is an apocalyptic number.

420221431555434 is an abundant number, since it is smaller than the sum of its proper divisors (538178324624406).

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

420221431555434 is a wasteful number, since it uses less digits than its factorization.

420221431555434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228717636154 (or 1228717636151 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 420221431555434 its reverse (434555134122024), we get a palindrome (854776565677458).

The spelling of 420221431555434 in words is "four hundred twenty trillion, two hundred twenty-one billion, four hundred thirty-one million, five hundred fifty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1228717636127 2457435272254 3686152908381 7372305816762 11058458725143 22116917450286 23345635086413 46691270172826 70036905259239 140073810518478 210110715777717 420221431555434