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1311020404440 = 233517642657061
BaseRepresentation
bin10011000100111110111…
…001111100111011011000
311122022222021012000002120
4103010332321330323120
5132434432210420230
62442135141101240
7163501210366365
oct23047671747330
94568867160076
101311020404440
1146600092715a
121921020b7820
1396823317306
144764d04b46c
1524181695310
hex1313ee7ced8

1311020404440 has 64 divisors (see below), whose sum is σ = 4164417761760. Its totient is φ = 329040414720.

The previous prime is 1311020404429. The next prime is 1311020404483. The reversal of 1311020404440 is 444040201131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1311020404440.

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, 321326491 + ... + 321330570.

Almost surely, 21311020404440 is an apocalyptic number.

1311020404440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311020404440 is an abundant number, since it is smaller than the sum of its proper divisors (2853397357320).

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

1311020404440 is a wasteful number, since it uses less digits than its factorization.

1311020404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642657092 (or 642657088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1311020404440 its reverse (444040201131), we get a palindrome (1755060605571).

The spelling of 1311020404440 in words is "one trillion, three hundred eleven billion, twenty million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 642657061 1285314122 1927971183 2570628244 3213285305 3855942366 5141256488 6426570610 7711884732 9639855915 10925170037 12853141220 15423769464 19279711830 21850340074 25706282440 32775510111 38559423660 43700680148 54625850185 65551020222 77118847320 87401360296 109251700370 131102040444 163877550555 218503400740 262204080888 327755101110 437006801480 655510202220 1311020404440