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40301144340 = 22351941862241
BaseRepresentation
bin100101100010001000…
…101010100100010100
310212000122201020212120
4211202020222210110
51130014043104330
630303013215540
72624462034432
oct454210524424
9125018636776
1040301144340
1116100a44266
1279889315b0
133a53591192
141d4459bd52
1510ad16ec10
hex96222a914

40301144340 has 96 divisors (see below), whose sum is σ = 121679591040. Its totient is φ = 9933004800.

The previous prime is 40301144327. The next prime is 40301144353. The reversal of 40301144340 is 4344110304.

It is an interprime number because it is at equal distance from previous prime (40301144327) and next prime (40301144353).

It is a super-2 number, since 2×403011443402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40301144340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384381 + ... + 477860.

It is an arithmetic number, because the mean of its divisors is an integer number (1267495740).

Almost surely, 240301144340 is an apocalyptic number.

It is an amenable number.

40301144340 is an abundant number, since it is smaller than the sum of its proper divisors (81378446700).

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

40301144340 is a wasteful number, since it uses less digits than its factorization.

40301144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862313 (or 862311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40301144340 its reverse (4344110304), we get a palindrome (44645254644).

It can be divided in two parts, 4030 and 1144340, that added together give a triangular number (1148370 = T1515).

The spelling of 40301144340 in words is "forty billion, three hundred one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 11685 15580 23370 46740 862241 1724482 2586723 3448964 4311205 5173446 8622410 10346892 12933615 16382579 17244820 25867230 32765158 35351881 49147737 51734460 65530316 70703762 81912895 98295474 106055643 141407524 163825790 176759405 196590948 212111286 245738685 327651580 353518810 424222572 491477370 530278215 671685739 707037620 982954740 1060556430 1343371478 2015057217 2121112860 2686742956 3358428695 4030114434 6716857390 8060228868 10075286085 13433714780 20150572170 40301144340