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400321322104 = 231137480125609
BaseRepresentation
bin1011101001101010000…
…00101001110001111000
31102021022002012020001111
411310311000221301320
523024324224301404
6503523255130104
740631223044104
oct5646500516170
91367262166044
10400321322104
11144858a4a460
1265702973934
132b99a093272
1415538b26904
15a62ec1a104
hex5d35029c78

400321322104 has 64 divisors (see below), whose sum is σ = 841177864800. Its totient is φ = 177002496000.

The previous prime is 400321322077. The next prime is 400321322119. The reversal of 400321322104 is 401223123004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15619252 + ... + 15644860.

Almost surely, 2400321322104 is an apocalyptic number.

400321322104 is a gapful number since it is divisible by the number (44) 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 400321322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420588932400).

400321322104 is an abundant number, since it is smaller than the sum of its proper divisors (440856542696).

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

400321322104 is a wasteful number, since it uses less digits than its factorization.

400321322104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30464 (or 30460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 400321322104 its reverse (401223123004), we get a palindrome (801544445108).

Subtracting 400321322104 from its reverse (401223123004), we obtain a square (901800900 = 300302).

The spelling of 400321322104 in words is "four hundred billion, three hundred twenty-one million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 4801 9602 19204 25609 38408 51218 52811 102436 105622 177637 204872 211244 281699 355274 422488 563398 710548 947533 1126796 1421096 1895066 1954007 2253592 3790132 3908014 7580264 7816028 10422863 15632056 20845726 41691452 83382904 122948809 245897618 491795236 983590472 1352436899 2704873798 4549105933 5409747596 9098211866 10819495192 18196423732 36392847464 50040165263 100080330526 200160661052 400321322104