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420304041432 = 2332112918299549
BaseRepresentation
bin1100001110111000001…
…00101011010111011000
31111011212201012112200100
412013130010223113120
523341240313311212
6521030210135400
742236345256042
oct6073404532730
91434781175610
10420304041432
11152282746230
126955ab81560
1330832cca442
14164b29d0a92
15adee1c0bdc
hex61dc12b5d8

420304041432 has 96 divisors (see below), whose sum is σ = 1284628410000. Its totient is φ = 122972962560.

The previous prime is 420304041331. The next prime is 420304041433. The reversal of 420304041432 is 234140403024.

It is a happy number.

420304041432 is a `hidden beast` number, since 4 + 203 + 0 + 40 + 414 + 3 + 2 = 666.

It is a super-2 number, since 2×4203040414322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420304041396 and 420304041405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420304041433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9126807 + ... + 9172742.

Almost surely, 2420304041432 is an apocalyptic number.

It is an amenable number.

420304041432 is an abundant number, since it is smaller than the sum of its proper divisors (864324368568).

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

420304041432 is a wasteful number, since it uses less digits than its factorization.

420304041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18299601 (or 18299594 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 420304041432 its reverse (234140403024), we get a palindrome (654444444456).

The spelling of 420304041432 in words is "four hundred twenty billion, three hundred four million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5742 7656 11484 22968 18299549 36599098 54898647 73198196 109797294 146396392 164695941 201295039 219594588 329391882 402590078 439189176 530686921 603885117 658783764 805180156 1061373842 1207770234 1317567528 1592060763 1610360312 1811655351 2122747684 2415540468 3184121526 3623310702 4245495368 4776182289 4831080936 5837556131 6368243052 7246621404 9552364578 11675112262 12736486104 14493242808 17512668393 19104729156 23350224524 35025336786 38209458312 46700449048 52538005179 70050673572 105076010358 140101347144 210152020716 420304041432