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4311240343040 = 29517479206813
BaseRepresentation
bin111110101111001001111…
…100101111111000000000
3120021011001202022022120202
4332233021330233320000
51031113410011434130
613100320110424332
7623322361163051
oct76571174577000
916234052268522
104311240343040
111412428863a74
125976698020a8
132537185929a7
1410c945236728
157722a381145
hex3ebc9f2fe00

4311240343040 has 160 divisors (see below), whose sum is σ = 10967826228480. Its totient is φ = 1619658932224.

The previous prime is 4311240342947. The next prime is 4311240343093. The reversal of 4311240343040 is 403430421134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 4311240342994 and 4311240343012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20742674 + ... + 20949486.

It is an arithmetic number, because the mean of its divisors is an integer number (68548913928).

Almost surely, 24311240343040 is an apocalyptic number.

4311240343040 is a gapful number since it is divisible by the number (40) 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 4311240343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483913114240).

4311240343040 is an abundant number, since it is smaller than the sum of its proper divisors (6656585885440).

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

4311240343040 is a wasteful number, since it uses less digits than its factorization.

4311240343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207332 (or 207316 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4311240343040 its reverse (403430421134), we get a palindrome (4714670764174).

The spelling of 4311240343040 in words is "four trillion, three hundred eleven billion, two hundred forty million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 479 512 544 640 680 958 1088 1280 1360 1916 2176 2395 2560 2720 3832 4352 4790 5440 7664 8143 8704 9580 10880 15328 16286 19160 21760 30656 32572 38320 40715 43520 61312 65144 76640 81430 122624 130288 153280 162860 206813 245248 260576 306560 325720 413626 521152 613120 651440 827252 1034065 1042304 1226240 1302880 1654504 2068130 2084608 2605760 3309008 3515821 4136260 4169216 5211520 6618016 7031642 8272520 10423040 13236032 14063284 16545040 17579105 20846080 26472064 28126568 33090080 35158210 52944128 56253136 66180160 70316420 99063427 105888256 112506272 132360320 140632840 198126854 225012544 264720640 281265680 396253708 450025088 495317135 529441280 562531360 792507416 900050176 990634270 1125062720 1585014832 1684078259 1800100352 1981268540 2250125440 3170029664 3368156518 3962537080 4500250880 6340059328 6736313036 7925074160 8420391295 9000501760 12680118656 13472626072 15850148320 16840782590 25360237312 26945252144 31700296640 33681565180 50720474624 53890504288 63400593280 67363130360 107781008576 126801186560 134726260720 215562017152 253602373120 269452521440 431124034304 538905042880 862248068608 1077810085760 2155620171520 4311240343040