Search a number
-
+
331881145680 = 243571910397279
BaseRepresentation
bin1001101010001011010…
…10000110010101010000
31011201122100221000212110
410311011222012111100
520414143033130210
6412244124425320
732656216123050
oct4650552062520
91151570830773
10331881145680
11118828288987
12543a23a8240
13253b0b55756
14120c5347560
15897651e420
hex4d45a86550

331881145680 has 160 divisors (see below), whose sum is σ = 1237692211200. Its totient is φ = 71865985536.

The previous prime is 331881145663. The next prime is 331881145691. The reversal of 331881145680 is 86541188133.

It is a super-2 number, since 2×3318811456802 (a number of 24 digits) contains 22 as substring.

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

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, 5166720 + ... + 5230559.

It is an arithmetic number, because the mean of its divisors is an integer number (7735576320).

Almost surely, 2331881145680 is an apocalyptic number.

331881145680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331881145680 is an abundant number, since it is smaller than the sum of its proper divisors (905811065520).

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

331881145680 is a wasteful number, since it uses less digits than its factorization.

331881145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10397321 (or 10397315 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 331881145680 in words is "three hundred thirty-one billion, eight hundred eighty-one million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 10397279 20794558 31191837 41589116 51986395 62383674 72780953 83178232 103972790 124767348 145561906 155959185 166356464 197548301 207945580 218342859 249534696 291123812 311918370 363904765 395096602 415891160 436685718 499069392 582247624 592644903 623836740 727809530 790193204 831782320 873371436 987741505 1091714295 1164495248 1185289806 1247673480 1382838107 1455619060 1580386408 1746742872 1975483010 2183428590 2370579612 2495346960 2765676214 2911238120 2963224515 3160772816 3493485744 3950966020 4148514321 4366857180 4741159224 5531352428 5822476240 5926449030 6914190535 7901932040 8297028642 8733714360 9482318448 11062704856 11852898060 13828381070 15803864080 16594057284 17467428720 20742571605 22125409712 23705796120 27656762140 33188114568 41485143210 47411592240 55313524280 66376229136 82970286420 110627048560 165940572840 331881145680