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4131134223040 = 2651110111619977
BaseRepresentation
bin111100000111011010110…
…010011011001011000000
3112121221011211212110001201
4330013122302123023000
51020141030330114130
612441452235310544
7604315233341146
oct74073262331300
915557154773051
104131134223040
111353005630310
125687845ab454
1323c744974156
14103d3b2d5596
15726d86b4bca
hex3c1dac9b2c0

4131134223040 has 112 divisors (see below), whose sum is σ = 10837814040864. Its totient is φ = 1487356928000.

The previous prime is 4131134223031. The next prime is 4131134223043. The reversal of 4131134223040 is 403224311314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4131134223043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5454469 + ... + 6165508.

Almost surely, 24131134223040 is an apocalyptic number.

4131134223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131134223040 is an abundant number, since it is smaller than the sum of its proper divisors (6706679817824).

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

4131134223040 is a wasteful number, since it uses less digits than its factorization.

4131134223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11620106 (or 11620096 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4131134223040 its reverse (403224311314), we get a palindrome (4534358534354).

The spelling of 4131134223040 in words is "four trillion, one hundred thirty-one billion, one hundred thirty-four million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 704 808 880 1010 1111 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 8080 8888 11110 16160 17776 22220 32320 35552 44440 71104 88880 177760 355520 11619977 23239954 46479908 58099885 92959816 116199770 127819747 185919632 232399540 255639494 371839264 464799080 511278988 639098735 743678528 929598160 1022557976 1173617677 1278197470 1859196320 2045115952 2347235354 2556394940 3718392640 4090231904 4694470708 5112789880 5868088385 8180463808 9388941416 10225579760 11736176770 12909794447 18777882832 20451159520 23472353540 25819588894 37555765664 40902319040 46944707080 51639177788 64548972235 75111531328 93889414160 103278355576 129097944470 187778828320 206556711152 258195888940 375557656640 413113422304 516391777880 826226844608 1032783555760 2065567111520 4131134223040