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341131432140 = 2232531348712433
BaseRepresentation
bin1001111011011010000…
…01001001000011001100
31012121112000222021100200
410331231001021003030
521042114121312030
6420414050253500
733434361221202
oct4755501110314
91177460867320
10341131432140
11121744889024
1256144287290
1326226418935
1412721ab1072
158d18689d60
hex4f6d0490cc

341131432140 has 144 divisors (see below), whose sum is σ = 1040286531648. Its totient is φ = 90484273152.

The previous prime is 341131432139. The next prime is 341131432321. The reversal of 341131432140 is 41234131143.

341131432140 is a `hidden beast` number, since 3 + 411 + 31 + 4 + 3 + 214 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27431364 + ... + 27443796.

Almost surely, 2341131432140 is an apocalyptic number.

341131432140 is a gapful number since it is divisible by the number (30) 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 341131432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520143265824).

341131432140 is an abundant number, since it is smaller than the sum of its proper divisors (699155099508).

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

341131432140 is a wasteful number, since it uses less digits than its factorization.

341131432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 341131432140 its reverse (41234131143), we get a palindrome (382365563283).

The spelling of 341131432140 in words is "three hundred forty-one billion, one hundred thirty-one million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 487 626 939 974 1252 1461 1565 1878 1948 2435 2817 2922 3130 3756 4383 4695 4870 5634 5844 6260 7305 8766 9390 9740 11268 12433 14085 14610 17532 18780 21915 24866 28170 29220 37299 43830 49732 56340 62165 74598 87660 111897 124330 149196 152431 186495 223794 248660 304862 372990 447588 457293 559485 609724 745980 762155 914586 1118970 1371879 1524310 1829172 2237940 2286465 2743758 3048620 3891529 4572930 5487516 6054871 6859395 7783058 9145860 11674587 12109742 13718790 15566116 18164613 19457645 23349174 24219484 27437580 30274355 35023761 36329226 38915290 46698348 54493839 58372935 60548710 70047522 72658452 77830580 90823065 108987678 116745870 121097420 140095044 175118805 181646130 217975356 233491740 272469195 350237610 363292260 544938390 700475220 1089876780 1895174623 3790349246 5685523869 7580698492 9475873115 11371047738 17056571607 18951746230 22742095476 28427619345 34113143214 37903492460 56855238690 68226286428 85282858035 113710477380 170565716070 341131432140