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10044133144000 = 26537117683333
BaseRepresentation
bin1001001000101001010011…
…1111001111010111000000
31022120012122220112021000021
42102022110333033113000
52304030341041102000
633210113331303224
72054443661025514
oct222122477172700
938505586467007
1010044133144000
11322276934534a
121162753a4ab14
1357b2085a9007
1426a1d25cc144
1512640e70011a
hex92294fcf5c0

10044133144000 has 112 divisors (see below), whose sum is σ = 25224639350976. Its totient is φ = 3961066368000.

The previous prime is 10044133143991. The next prime is 10044133144009. The reversal of 10044133144000 is 44133144001.

It is an interprime number because it is at equal distance from previous prime (10044133143991) and next prime (10044133144009).

It is a super-2 number, since 2×100441331440002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044133144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8273667 + ... + 9409666.

Almost surely, 210044133144000 is an apocalyptic number.

10044133144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044133144000 is an abundant number, since it is smaller than the sum of its proper divisors (15180506206976).

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

10044133144000 is an equidigital number, since it uses as much as digits as its factorization.

10044133144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17683431 (or 17683411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10044133144000 its reverse (44133144001), we get a palindrome (10088266288001).

Subtracting from 10044133144000 its reverse (44133144001), we obtain a palindrome (9999999999999).

The spelling of 10044133144000 in words is "ten trillion, forty-four billion, one hundred thirty-three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 710 800 1000 1136 1420 1600 1775 2000 2272 2840 3550 4000 4544 5680 7100 8000 8875 11360 14200 17750 22720 28400 35500 56800 71000 113600 142000 284000 568000 17683333 35366666 70733332 88416665 141466664 176833330 282933328 353666660 442083325 565866656 707333320 884166650 1131733312 1255516643 1414666640 1768333300 2210416625 2511033286 2829333280 3536666600 4420833250 5022066572 5658666560 6277583215 7073333200 8841666500 10044133144 12555166430 14146666400 17683333000 20088266288 25110332860 28293332800 31387916075 35366666000 40176532576 50220665720 62775832150 70733332000 80353065152 100441331440 125551664300 141466664000 156939580375 200882662880 251103328600 313879160750 401765325760 502206657200 627758321500 1004413314400 1255516643000 2008826628800 2511033286000 5022066572000 10044133144000