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331424814864 = 2431113130736943
BaseRepresentation
bin1001101001010100111…
…01010101011100010000
31011200110120021000200010
410310222131111130100
520412224223033424
6412130543554520
732642005305363
oct4645235253420
91150416230603
10331424814864
11118613738880
12542955bba40
132533a450310
14120808bc0da
15894b430229
hex4d2a755710

331424814864 has 160 divisors (see below), whose sum is σ = 1006659569664. Its totient is φ = 92632803840.

The previous prime is 331424814863. The next prime is 331424814881. The reversal of 331424814864 is 468418424133.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331424814863) 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, 8952777 + ... + 8989719.

Almost surely, 2331424814864 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 331424814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503329784832).

331424814864 is an abundant number, since it is smaller than the sum of its proper divisors (675234754800).

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

331424814864 is a wasteful number, since it uses less digits than its factorization.

331424814864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38285 (or 38279 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 331424814864 in words is "three hundred thirty-one billion, four hundred twenty-four million, eight hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1307 1716 2288 2614 3432 3921 5228 6864 7842 10456 14377 15684 16991 20912 28754 31368 33982 36943 43131 50973 57508 62736 67964 73886 86262 101946 110829 115016 135928 147772 172524 186901 203892 221658 230032 271856 295544 345048 373802 406373 407784 443316 480259 560703 591088 690096 747604 812746 815568 886632 960518 1121406 1219119 1440777 1495208 1625492 1773264 1921036 2242812 2438238 2881554 2990416 3250984 3842072 4485624 4876476 5282849 5763108 6501968 7684144 8971248 9752952 10565698 11526216 15848547 19505904 21131396 23052432 31697094 42262792 48284501 63394188 84525584 96569002 126788376 144853503 193138004 253576752 289707006 386276008 531129511 579414012 627698513 772552016 1062259022 1158828024 1255397026 1593388533 1883095539 2124518044 2317656048 2510794052 3186777066 3766191078 4249036088 5021588104 6373554132 6904683643 7532382156 8498072176 10043176208 12747108264 13809367286 15064764312 20714050929 25494216528 27618734572 30129528624 41428101858 55237469144 82856203716 110474938288 165712407432 331424814864