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404300100420 = 2232573211145823
BaseRepresentation
bin1011110001000100010…
…10011111001101000100
31102122120100222002211100
411320202022133031010
523111001311203140
6505422150140100
741131635102636
oct5704212371504
91378510862740
10404300100420
1114650a9594a7
1266433351630
132c182494468
14157d5314a56
15a7b419c530
hex5e2229f344

404300100420 has 144 divisors (see below), whose sum is σ = 1249077053952. Its totient is φ = 105831774720.

The previous prime is 404300100383. The next prime is 404300100443. The reversal of 404300100420 is 24001003404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404300100393 and 404300100402.

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, 2699629 + ... + 2845451.

It is an arithmetic number, because the mean of its divisors is an integer number (8674146208).

Almost surely, 2404300100420 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 404300100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624538526976).

404300100420 is an abundant number, since it is smaller than the sum of its proper divisors (844776953532).

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

404300100420 is a wasteful number, since it uses less digits than its factorization.

404300100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146122 (or 146117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 404300100420 its reverse (24001003404), we get a palindrome (428301103824).

The spelling of 404300100420 in words is "four hundred four billion, three hundred million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 211 219 292 365 422 438 633 657 730 844 876 1055 1095 1266 1314 1460 1899 2110 2190 2532 2628 3165 3285 3798 4220 4380 6330 6570 7596 9495 12660 13140 15403 18990 30806 37980 46209 61612 77015 92418 138627 145823 154030 184836 231045 277254 291646 308060 437469 462090 554508 583292 693135 729115 874938 924180 1312407 1386270 1458230 1749876 2187345 2624814 2772540 2916460 4374690 5249628 6562035 8749380 10645079 13124070 21290158 26248140 30768653 31935237 42580316 53225395 61537306 63870474 92305959 95805711 106450790 123074612 127740948 153843265 159676185 184611918 191611422 212901580 276917877 307686530 319352370 369223836 383222844 461529795 479028555 553835754 615373060 638704740 923059590 958057110 1107671508 1384589385 1846119180 1916114220 2246111669 2769178770 4492223338 5538357540 6738335007 8984446676 11230558345 13476670014 20215005021 22461116690 26953340028 33691675035 40430010042 44922233380 67383350070 80860020084 101075025105 134766700140 202150050210 404300100420