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141240214340010 = 23352839187201203
BaseRepresentation
bin100000000111010100001100…
…110011011100000110101010
3200112002102200101022210022000
4200013110030303130012222
5122003034424332340020
61220220505252311430
741515161115163652
oct4007241463340652
9615072611283260
10141240214340010
1141004702963185
1213a11372012576
1360a6b835b6066
1426c40c4659362
15114deae8ec090
hex80750ccdc1aa

141240214340010 has 128 divisors (see below), whose sum is σ = 378014477736960. Its totient is φ = 37526696877888.

The previous prime is 141240214339997. The next prime is 141240214340011. The reversal of 141240214340010 is 10043412042141.

141240214340010 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 40 + 214 + 3 + 400 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141240214340011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701878069 + ... + 702079271.

It is an arithmetic number, because the mean of its divisors is an integer number (2953238107320).

Almost surely, 2141240214340010 is an apocalyptic number.

141240214340010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141240214340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189007238868480).

141240214340010 is an abundant number, since it is smaller than the sum of its proper divisors (236774263396950).

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

141240214340010 is a wasteful number, since it uses less digits than its factorization.

141240214340010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210689 (or 210683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141240214340010 its reverse (10043412042141), we get a palindrome (151283626382151).

The spelling of 141240214340010 in words is "one hundred forty-one trillion, two hundred forty billion, two hundred fourteen million, three hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 283 566 849 1415 1698 2547 2830 4245 5094 7641 8490 9187 12735 15282 18374 25470 27561 38205 45935 55122 76410 82683 91870 137805 165366 201203 248049 275610 402406 413415 496098 603609 826830 1006015 1207218 1240245 1810827 2012030 2480490 2599921 3018045 3621654 5199842 5432481 6036090 7799763 9054135 10864962 12999605 15599526 18108270 23399289 25999210 27162405 38998815 46798578 54324810 56940449 70197867 77997630 113880898 116996445 140395734 170821347 233992890 284702245 341642694 350989335 512464041 569404490 701978670 854106735 1024928082 1537392123 1708213470 1848451961 2562320205 3074784246 3696903922 5124640410 5545355883 7686960615 9242259805 11090711766 15373921230 16636067649 18484519610 27726779415 33272135298 49908202947 55453558830 83180338245 99816405894 166360676490 249541014735 499082029470 523111904963 1046223809926 1569335714889 2615559524815 3138671429778 4708007144667 5231119049630 7846678574445 9416014289334 14124021434001 15693357148890 23540035723335 28248042868002 47080071446670 70620107170005 141240214340010