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13400411300 = 2252413479419
BaseRepresentation
bin11000111101011101…
…00000110010100100
31021120220020102111122
430132232200302210
5204421001130200
610053413153112
7653034421343
oct143656406244
937526212448
1013400411300
115757201391
12271b92b798
131357328573
149119d9b5a
15536697385
hex31eba0ca4

13400411300 has 72 divisors (see below), whose sum is σ = 29877150240. Its totient is φ = 5213804800.

The previous prime is 13400411281. The next prime is 13400411327. The reversal of 13400411300 is 311400431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417991 + ... + 1427409.

It is an arithmetic number, because the mean of its divisors is an integer number (414960420).

Almost surely, 213400411300 is an apocalyptic number.

13400411300 is a gapful number since it is divisible by the number (10) 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 13400411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938575120).

13400411300 is an abundant number, since it is smaller than the sum of its proper divisors (16476738940).

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

13400411300 is a wasteful number, since it uses less digits than its factorization.

13400411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9821 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13400411300 its reverse (311400431), we get a palindrome (13711811731).

The spelling of 13400411300 in words is "thirteen billion, four hundred million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 347 410 694 820 1025 1388 1735 2050 3470 4100 6940 8675 9419 14227 17350 18838 28454 34700 37676 47095 56908 71135 94190 142270 188380 235475 284540 355675 386179 470950 711350 772358 941900 1422700 1544716 1930895 3268393 3861790 6536786 7723580 9654475 13073572 16341965 19308950 32683930 38617900 65367860 81709825 134004113 163419650 268008226 326839300 536016452 670020565 1340041130 2680082260 3350102825 6700205650 13400411300