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10140442033204 = 227288337585677
BaseRepresentation
bin1001001110010000000101…
…1100011111110000110100
31022220102020211200202010201
42103210001130133300310
52312120111130030304
633322242121130244
72064423415052200
oct223440134376064
938812224622121
1010140442033204
11325a5a019225a
121179351629984
13587316487c12
14270b2b343b00
15128b9987c3a4
hex9390171fc34

10140442033204 has 36 divisors (see below), whose sum is σ = 20643311642436. Its totient is φ = 4345847111424.

The previous prime is 10140442033193. The next prime is 10140442033207. The reversal of 10140442033204 is 40233024404101.

It can be written as a sum of positive squares in 2 ways, for example, as 5882574861604 + 4257867171600 = 2425402^2 + 2063460^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140442033207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17021214 + ... + 17606890.

It is an arithmetic number, because the mean of its divisors is an integer number (573425323401).

Almost surely, 210140442033204 is an apocalyptic number.

10140442033204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140442033204 is an abundant number, since it is smaller than the sum of its proper divisors (10502869609232).

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

10140442033204 is a wasteful number, since it uses less digits than its factorization.

10140442033204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674032 (or 674023 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10140442033204 its reverse (40233024404101), we get a palindrome (50373466437305).

The spelling of 10140442033204 in words is "ten trillion, one hundred forty billion, four hundred forty-two million, thirty-three thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 88337 176674 353348 585677 618359 1171354 1236718 2342708 2473436 4099739 4328513 8199478 8657026 16398956 17314052 28698173 57396346 114792692 51736949149 103473898298 206947796596 362158644043 724317288086 1448634576172 2535110508301 5070221016602 10140442033204