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14014201400 = 2352378322817
BaseRepresentation
bin11010000110100111…
…11011111000111000
31100011200012012020022
431003103323320320
5212200113421100
610234340550012
71004166514013
oct150323737070
940150165208
1014014201400
115a41718a31
1228713b2308
131424541b84
1496d33237a
155704dae85
hex3434fbe38

14014201400 has 96 divisors (see below), whose sum is σ = 33868301040. Its totient is φ = 5388226560.

The previous prime is 14014201361. The next prime is 14014201463. The reversal of 14014201400 is 410241041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602792 + ... + 625608.

Almost surely, 214014201400 is an apocalyptic number.

14014201400 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 14014201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934150520).

14014201400 is an abundant number, since it is smaller than the sum of its proper divisors (19854099640).

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

14014201400 is a wasteful number, since it uses less digits than its factorization.

14014201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953 (or 22944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14014201400 its reverse (410241041), we get a palindrome (14424442441).

The spelling of 14014201400 in words is "fourteen billion, fourteen million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 83 100 148 166 185 200 296 332 370 415 664 740 830 925 1480 1660 1850 2075 3071 3320 3700 4150 6142 7400 8300 12284 15355 16600 22817 24568 30710 45634 61420 76775 91268 114085 122840 153550 182536 228170 307100 456340 570425 614200 844229 912680 1140850 1688458 1893811 2281700 3376916 3787622 4221145 4563400 6753832 7575244 8442290 9469055 15150488 16884580 18938110 21105725 33769160 37876220 42211450 47345275 70071007 75752440 84422900 94690550 140142014 168845800 189381100 280284028 350355035 378762200 560568056 700710070 1401420140 1751775175 2802840280 3503550350 7007100700 14014201400