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404341144340 = 225719223967891
BaseRepresentation
bin1011110001001001001…
…11000011101100010100
31102122200020012100111112
411320210213003230110
523111042313104330
6505430213554152
741132644006340
oct5704447035424
91378606170445
10404341144340
111465310423a1
1266445045958
132c18ab351c3
14157da95a620
15a7b7aa8795
hex5e249c3b14

404341144340 has 96 divisors (see below), whose sum is σ = 1021964697600. Its totient is φ = 131274276480.

The previous prime is 404341144303. The next prime is 404341144379. The reversal of 404341144340 is 43441143404.

It is a super-2 number, since 2×4043411443402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404341144297 and 404341144306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5921795 + ... + 5989685.

It is an arithmetic number, because the mean of its divisors is an integer number (10645465600).

Almost surely, 2404341144340 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 404341144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510982348800).

404341144340 is an abundant number, since it is smaller than the sum of its proper divisors (617623553260).

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

404341144340 is a wasteful number, since it uses less digits than its factorization.

404341144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70165 (or 70163 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 404341144340 its reverse (43441143404), we get a palindrome (447782287744).

The spelling of 404341144340 in words is "four hundred four billion, three hundred forty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2239 2660 4478 8956 11195 15673 22390 31346 42541 44780 62692 67891 78365 85082 135782 156730 170164 212705 271564 297787 313460 339455 425410 475237 595574 678910 850820 950474 1191148 1289929 1357820 1488935 1900948 2376185 2579858 2977870 4752370 5159716 5955740 6449645 9029503 9504740 12899290 18059006 25798580 36118012 45147515 90295030 152007949 180590060 304015898 608031796 760039745 1064055643 1520079490 2128111286 2888151031 3040158980 4256222572 5320278215 5776302062 10640556430 11552604124 14440755155 20217057217 21281112860 28881510310 40434114434 57763020620 80868228868 101085286085 202170572170 404341144340