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420042002044 = 227273190115443
BaseRepresentation
bin1100001110011000111…
…01000100111001111100
31111011012110010120012211
412013030131010321330
523340221223031134
6520544205510204
742230014051600
oct6071435047174
91434173116184
10420042002044
1115215883a155
12694a7272364
13307c0930b52
1416489c9d500
15add61ae764
hex61cc744e7c

420042002044 has 72 divisors (see below), whose sum is σ = 867311132688. Its totient is φ = 177447110400.

The previous prime is 420042002027. The next prime is 420042002059. The reversal of 420042002044 is 440200240024.

It is a super-2 number, since 2×4200420020442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27191787 + ... + 27207229.

It is an arithmetic number, because the mean of its divisors is an integer number (12045987954).

Almost surely, 2420042002044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420042002044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433655566344).

420042002044 is an abundant number, since it is smaller than the sum of its proper divisors (447269130644).

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

420042002044 is a wasteful number, since it uses less digits than its factorization.

420042002044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17435 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420042002044 its reverse (440200240024), we get a palindrome (860242242068).

The spelling of 420042002044 in words is "four hundred twenty billion, forty-two million, two thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 1901 2044 3577 3802 7154 7604 13307 14308 15443 26614 30886 53228 61772 93149 108101 138773 186298 216202 277546 372596 432404 555092 756707 971411 1127339 1513414 1942822 2254678 3026828 3885644 4509356 6799877 7891373 13599754 15782746 27199508 29357143 31565492 55239611 58714286 110479222 117428572 205500001 220958444 411000002 822000004 1438500007 2143071439 2877000014 4286142878 5754000028 8572285756 15001500073 30003000146 60006000292 105010500511 210021001022 420042002044