Search a number
-
+
411424221120 = 26351138960627
BaseRepresentation
bin1011111110010101100…
…10110110011111000000
31110022221212020221012120
411333022302312133000
523220044100033440
6513001120524240
741503322115063
oct5771262663700
91408855227176
10411424221120
11149536279860
12678a1180680
132ca49407ab3
1415cad5408da
15aa7e832dd0
hex5fcacb67c0

411424221120 has 112 divisors (see below), whose sum is σ = 1425023929728. Its totient is φ = 99739202560.

The previous prime is 411424221113. The next prime is 411424221121. The reversal of 411424221120 is 21122424114.

It is a happy number.

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 (411424221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19469754 + ... + 19490873.

It is an arithmetic number, because the mean of its divisors is an integer number (12723427944).

Almost surely, 2411424221120 is an apocalyptic number.

411424221120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411424221120 is an abundant number, since it is smaller than the sum of its proper divisors (1013599708608).

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

411424221120 is a wasteful number, since it uses less digits than its factorization.

411424221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960658 (or 38960648 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 411424221120 its reverse (21122424114), we get a palindrome (432546645234).

The spelling of 411424221120 in words is "four hundred eleven billion, four hundred twenty-four million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 38960627 77921254 116881881 155842508 194803135 233763762 311685016 389606270 428566897 467527524 584409405 623370032 779212540 857133794 935055048 1168818810 1246740064 1285700691 1558425080 1714267588 1870110096 2142834485 2337637620 2493480128 2571401382 3116850160 3428535176 3740220192 4285668970 4675275240 5142802764 6233700320 6428503455 6857070352 7480440384 8571337940 9350550480 10285605528 12467400640 12857006910 13714140704 17142675880 18701100960 20571211056 25714013820 27428281408 34285351760 37402201920 41142422112 51428027640 68570703520 82284844224 102856055280 137141407040 205712110560 411424221120