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14010540400 = 245240985639
BaseRepresentation
bin11010000110001011…
…11110000101110000
31100011102022012021201
431003011332011300
5212143144243100
610234130300544
71004123425363
oct150305760560
940142265251
1014010540400
115a3a64840a
122870127754
13142385c6bc
1496ca5c0da
1557001636a
hex34317e170

14010540400 has 60 divisors (see below), whose sum is σ = 33743016400. Its totient is φ = 5590448640.

The previous prime is 14010540391. The next prime is 14010540409. The reversal of 14010540400 is 404501041.

It is an interprime number because it is at equal distance from previous prime (14010540391) and next prime (14010540409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14010540409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120781 + ... + 206419.

Almost surely, 214010540400 is an apocalyptic number.

14010540400 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 14010540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871508200).

14010540400 is an abundant number, since it is smaller than the sum of its proper divisors (19732476000).

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

14010540400 is a wasteful number, since it uses less digits than its factorization.

14010540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86066 (or 86055 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 14010540400 in words is "fourteen billion, ten million, five hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 409 818 1636 2045 3272 4090 6544 8180 10225 16360 20450 32720 40900 81800 85639 163600 171278 342556 428195 685112 856390 1370224 1712780 2140975 3425560 4281950 6851120 8563900 17127800 34255600 35026351 70052702 140105404 175131755 280210808 350263510 560421616 700527020 875658775 1401054040 1751317550 2802108080 3502635100 7005270200 14010540400