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420044223546 = 2321717920393761
BaseRepresentation
bin1100001110011001001…
…01100011010000111010
31111011012121022102112200
412013030211203100322
523340222310123141
6520544325251030
742230041663353
oct6071445432072
91434177272480
10420044223546
1115215a017202
12694a7b63a76
13307c122b04c
141648a2bad2a
15add649cab6
hex61cc96343a

420044223546 has 96 divisors (see below), whose sum is σ = 969747292800. Its totient is φ = 130943293440.

The previous prime is 420044223527. The next prime is 420044223589. The reversal of 420044223546 is 645322440024.

420044223546 is a `hidden beast` number, since 4 + 200 + 442 + 2 + 3 + 5 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420044223546.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111682306 + ... + 111686066.

It is an arithmetic number, because the mean of its divisors is an integer number (10101534300).

Almost surely, 2420044223546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420044223546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484873646400).

420044223546 is an abundant number, since it is smaller than the sum of its proper divisors (549703069254).

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

420044223546 is a wasteful number, since it uses less digits than its factorization.

420044223546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 420044223546 in words is "four hundred twenty billion, forty-four million, two hundred twenty-three thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 179 306 358 537 1074 1611 2039 3043 3222 3761 4078 6086 6117 7522 9129 11283 12234 18258 18351 22566 27387 33849 34663 36702 54774 63937 67698 69326 103989 127874 191811 207978 311967 364981 383622 575433 623934 673219 729962 1094943 1150866 1346438 2019657 2189886 3284829 4039314 6058971 6204677 6569658 7668679 11444723 12117942 12409354 15337358 18614031 22889446 23006037 34334169 37228062 46012074 55842093 68668338 69018111 103002507 111684186 130367543 138036222 206005014 260735086 391102629 782205258 1173307887 1372693541 2346615774 2745387082 4118080623 8236161246 12354241869 23335790197 24708483738 46671580394 70007370591 140014741182 210022111773 420044223546