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40014401296 = 2443211632
BaseRepresentation
bin100101010001000010…
…110100111100010000
310211021200011012100211
4211101002310330100
51123422141320141
630214331253504
72614410541042
oct452102647420
9124250135324
1040014401296
1115a740a4a41
1279088aa294
133a0905553c
141d18479a92
151092dcdd81
hex9510b4f10

40014401296 has 45 divisors (see below), whose sum is σ = 79441113639. Its totient is φ = 19525113888.

The previous prime is 40014401293. The next prime is 40014401341. The reversal of 40014401296 is 69210441004.

The square root of 40014401296 is 200036.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×400144012963 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40014401293) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34405611 + ... + 34406773.

Almost surely, 240014401296 is an apocalyptic number.

40014401296 is the 200036-th square number.

It is an amenable number.

40014401296 is a deficient number, since it is larger than the sum of its proper divisors (39426712343).

40014401296 is an frugal number, since it uses more digits than its factorization.

40014401296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 40014401296 in words is "forty billion, fourteen million, four hundred one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 43 86 172 344 688 1163 1849 2326 3698 4652 7396 9304 14792 18608 29584 50009 100018 200036 400072 800144 1352569 2150387 2705138 4300774 5410276 8601548 10820552 17203096 21641104 34406192 58160467 116320934 232641868 465283736 930567472 2500900081 5001800162 10003600324 20007200648 40014401296