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10044434000 = 245331162007
BaseRepresentation
bin10010101101011000…
…11110011001010000
3221221000101010010002
421112230132121100
5131032333342000
64340411025132
7503624165066
oct112654363120
927830333102
1010044434000
114294903a27
121b43a3b1a8
13c40c77293
146b400c036
153dbc388d5
hex256b1e650

10044434000 has 80 divisors (see below), whose sum is σ = 25071062016. Its totient is φ = 3888144000.

The previous prime is 10044433979. The next prime is 10044434021. The reversal of 10044434000 is 43444001.

It is an interprime number because it is at equal distance from previous prime (10044433979) and next prime (10044434021).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19004 + ... + 143003.

Almost surely, 210044434000 is an apocalyptic number.

10044434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044434000 is an abundant number, since it is smaller than the sum of its proper divisors (15026628016).

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

10044434000 is a wasteful number, since it uses less digits than its factorization.

10044434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162061 (or 162045 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10044434000 its reverse (43444001), we get a palindrome (10087878001).

The spelling of 10044434000 in words is "ten billion, forty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 162007 324014 648028 810035 1296056 1620070 2592112 3240140 4050175 5022217 6480280 8100350 10044434 12960560 16200700 20088868 20250875 25111085 32401400 40177736 40501750 50222170 64802800 80355472 81003500 100444340 125555425 162007000 200888680 251110850 324014000 401777360 502221700 627777125 1004443400 1255554250 2008886800 2511108500 5022217000 10044434000