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130440041142000 = 2435321740006857
BaseRepresentation
bin11101101010001001110000…
…010100010001011011110000
3122002211221112202001102110220
4131222021300110101123300
5114044112201013021000
61141231154434453040
736321660550536012
oct3552116024213360
9562757482042426
10130440041142000
1138620346729217
12127681a1a34180
1357a259b64c355
14242d49019c1b2
1510130a13a41a0
hex76a2705116f0

130440041142000 has 80 divisors (see below), whose sum is σ = 420538692661152. Its totient is φ = 34784010969600.

The previous prime is 130440041141957. The next prime is 130440041142029. The reversal of 130440041142000 is 241140044031.

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 (24).

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, 10869997429 + ... + 10870009428.

Almost surely, 2130440041142000 is an apocalyptic number.

130440041142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440041142000 is an abundant number, since it is smaller than the sum of its proper divisors (290098651519152).

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

130440041142000 is a wasteful number, since it uses less digits than its factorization.

130440041142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21740006883 (or 21740006867 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 130440041142000 its reverse (241140044031), we get a palindrome (130681181186031).

The spelling of 130440041142000 in words is "one hundred thirty trillion, four hundred forty billion, forty-one million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 21740006857 43480013714 65220020571 86960027428 108700034285 130440041142 173920054856 217400068570 260880082284 326100102855 347840109712 434800137140 521760164568 543500171425 652200205710 869600274280 1043520329136 1087000342850 1304400411420 1630500514275 1739200548560 2174000685700 2608800822840 2717500857125 3261001028550 4348001371400 5217601645680 5435001714250 6522002057100 8152502571375 8696002742800 10870003428500 13044004114200 16305005142750 21740006857000 26088008228400 32610010285500 43480013714000 65220020571000 130440041142000