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401276639296 = 2613260912
BaseRepresentation
bin1011101011011011111…
…00111001100001000000
31102100202122210100212201
411311231330321201000
523033303304424141
6504202143002544
740664003104321
oct5655574714100
91370678710781
10401276639296
111451a92243a5
126592a899454
132babcc87300
14155c9962448
15a688a22031
hex5d6df39840

401276639296 has 63 divisors (see below), whose sum is σ = 862389214893. Its totient is φ = 185174196480.

The previous prime is 401276639293. The next prime is 401276639321. The reversal of 401276639296 is 692936672104.

The square root of 401276639296 is 633464.

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

It can be written as a sum of positive squares in only one way, i.e., 59360449600 + 341916189696 = 243640^2 + 584736^2 .

It is a super-2 number, since 2×4012766392962 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401276639293) 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, 65877211 + ... + 65883301.

Almost surely, 2401276639296 is an apocalyptic number.

401276639296 is the 633464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401276639296

401276639296 is an abundant number, since it is smaller than the sum of its proper divisors (461112575597).

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

401276639296 is an frugal number, since it uses more digits than its factorization.

401276639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12220 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 401276639296 in words is "four hundred one billion, two hundred seventy-six million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 6091 10816 12182 24364 48728 79183 97456 158366 194912 316732 389824 633464 1029379 1266928 2058758 2533856 4117516 5067712 8235032 16470064 32940128 37100281 65880256 74200562 148401124 296802248 482303653 593604496 964607306 1187208992 1929214612 2374417984 3858429224 6269947489 7716858448 12539894978 15433716896 25079789956 30867433792 50159579912 100319159824 200638319648 401276639296