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404211034320 = 243559253911243
BaseRepresentation
bin1011110000111001101…
…10101110100011010000
31102122100011101002002220
411320130312232203100
523110311011044240
6505405245141040
741126504050002
oct5703466564320
91378304332086
10404211034320
11146474655855
126640955a780
132c169bab622
14157c756c372
15a7ab4575d0
hex5e1cdae8d0

404211034320 has 160 divisors (see below), whose sum is σ = 1274907686400. Its totient is φ = 105911511552.

The previous prime is 404211034319. The next prime is 404211034321. The reversal of 404211034320 is 23430112404.

404211034320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (404211034319) and next prime (404211034321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404211034321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35946619 + ... + 35957861.

It is an arithmetic number, because the mean of its divisors is an integer number (7968173040).

Almost surely, 2404211034320 is an apocalyptic number.

404211034320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404211034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637453843200).

404211034320 is an abundant number, since it is smaller than the sum of its proper divisors (870696652080).

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

404211034320 is a wasteful number, since it uses less digits than its factorization.

404211034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 404211034320 its reverse (23430112404), we get a palindrome (427641146724).

The spelling of 404211034320 in words is "four hundred four billion, two hundred eleven million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2539 2832 3540 4720 5078 7080 7617 10156 11243 12695 14160 15234 20312 22486 25390 30468 33729 38085 40624 44972 50780 56215 60936 67458 76170 89944 101560 112430 121872 134916 149801 152340 168645 179888 203120 224860 269832 299602 304680 337290 449403 449720 539664 599204 609360 663337 674580 749005 898806 899440 1198408 1326674 1349160 1498010 1797612 1990011 2247015 2396816 2653348 2698320 2996020 3316685 3595224 3980022 4494030 5306696 5992040 6633370 7190448 7960044 8988060 9950055 10613392 11984080 13266740 15920088 17976120 19900110 26533480 28545977 31840176 35952240 39800220 53066960 57091954 79600440 85637931 114183908 142729885 159200880 171275862 228367816 285459770 342551724 428189655 456735632 570919540 685103448 856379310 1141839080 1370206896 1684212643 1712758620 2283678160 3368425286 3425517240 5052637929 6736850572 6851034480 8421063215 10105275858 13473701144 16842126430 20210551716 25263189645 26947402288 33684252860 40421103432 50526379290 67368505720 80842206864 101052758580 134737011440 202105517160 404211034320