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400861194496 = 287256532
BaseRepresentation
bin1011101010101010011…
…00000110100100000000
31102022200201001120202021
411311111030012210000
523031430431210441
6504053022331224
740650466635100
oct5652514064400
91368621046667
10400861194496
1114500576a594
1265833729b14
132ba54b98a99
141558a6db200
15a66230c3d1
hex5d55306900

400861194496 has 81 divisors (see below), whose sum is σ = 930959009001. Its totient is φ = 171767264256.

The previous prime is 400861194493. The next prime is 400861194509. The reversal of 400861194496 is 694491168004.

The square root of 400861194496 is 633136.

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., 314227513600 + 86633680896 = 560560^2 + 294336^2 .

It is not an unprimeable number, because it can be changed into a prime (400861194491) 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, 70908406 + ... + 70914058.

Almost surely, 2400861194496 is an apocalyptic number.

400861194496 is the 633136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400861194496

400861194496 is an abundant number, since it is smaller than the sum of its proper divisors (530097814505).

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

400861194496 is an frugal number, since it uses more digits than its factorization.

400861194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 400861194496 in words is "four hundred billion, eight hundred sixty-one million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 5653 6272 11306 12544 22612 39571 45224 79142 90448 158284 180896 276997 316568 361792 553994 633136 723584 1107988 1266272 1447168 2215976 2532544 4431952 5065088 8863904 10130176 17727808 31956409 35455616 63912818 70911232 127825636 223694863 255651272 447389726 511302544 894779452 1022605088 1565864041 1789558904 2045210176 3131728082 3579117808 4090420352 6263456164 7158235616 8180840704 12526912328 14316471232 25053824656 28632942464 50107649312 57265884928 100215298624 200430597248 400861194496