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141323224002000 = 2435354074356181
BaseRepresentation
bin100000001000100001100000…
…100100001010110111010000
3200112101100221110122112101120
4200020201200210022313100
5122010414430321031000
61220322554241402240
741524160143522215
oct4010414044126720
9615340843575346
10141323224002000
114103692a729917
1213a25479939380
1360b1952106151
1426c811add3b0c
15115121c21c6a0
hex80886090add0

141323224002000 has 160 divisors (see below), whose sum is σ = 455710444760064. Its totient is φ = 37679214528000.

The previous prime is 141323224001959. The next prime is 141323224002017. The reversal of 141323224002000 is 200422323141.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 30263910 + ... + 34620090.

Almost surely, 2141323224002000 is an apocalyptic number.

141323224002000 is a gapful number since it is divisible by the number (10) 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 141323224002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227855222380032).

141323224002000 is an abundant number, since it is smaller than the sum of its proper divisors (314387220758064).

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

141323224002000 is a wasteful number, since it uses less digits than its factorization.

141323224002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361614 (or 4361598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 141323224002000 its reverse (200422323141), we get a palindrome (141523646325141).

The spelling of 141323224002000 in words is "one hundred forty-one trillion, three hundred twenty-three billion, two hundred twenty-four million, 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 5407 6000 10814 16221 21628 27035 32442 43256 54070 64884 81105 86512 108140 129768 135175 162210 216280 259536 270350 324420 405525 432560 540700 648840 675875 811050 1081400 1297680 1351750 1622100 2027625 2162800 2703500 3244200 4055250 4356181 5407000 6488400 8110500 8712362 10814000 13068543 16221000 17424724 21780905 26137086 32442000 34849448 43561810 52274172 65342715 69698896 87123620 104548344 108904525 130685430 174247240 209096688 217809050 261370860 326713575 348494480 435618100 522741720 544522625 653427150 871236200 1045483440 1089045250 1306854300 1633567875 1742472400 2178090500 2613708600 3267135750 4356181000 5227417200 6534271500 8712362000 13068543000 23553870667 26137086000 47107741334 70661612001 94215482668 117769353335 141323224002 188430965336 235538706670 282646448004 353308060005 376861930672 471077413340 565292896008 588846766675 706616120010 942154826680 1130585792016 1177693533350 1413232240020 1766540300025 1884309653360 2355387066700 2826464480040 2944233833375 3533080600050 4710774133400 5652928960080 5888467666750 7066161200100 8832701500125 9421548266800 11776935333500 14132322400200 17665403000250 23553870667000 28264644800400 35330806000500 47107741334000 70661612001000 141323224002000