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241142321420 = 2257111312045071
BaseRepresentation
bin1110000010010100110…
…0111101000100001100
3212001102121211011101122
43200211030331010030
512422324413241140
6302440152500112
723264505624650
oct3404514750414
9761377734348
10241142321420
11932a4610230
123a89a0aa638
131997cc4c770
14b958286a60
1564153a1ab5
hex382533d10c

241142321420 has 96 divisors (see below), whose sum is σ = 679920224256. Its totient is φ = 69379603200.

The previous prime is 241142321401. The next prime is 241142321447. The reversal of 241142321420 is 24123241142.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 241142321420.

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, 6002516 + ... + 6042555.

It is an arithmetic number, because the mean of its divisors is an integer number (7082502336).

Almost surely, 2241142321420 is an apocalyptic number.

241142321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241142321420 is an abundant number, since it is smaller than the sum of its proper divisors (438777902836).

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

241142321420 is a wasteful number, since it uses less digits than its factorization.

241142321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12045111 (or 12045109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 241142321420 its reverse (24123241142), we get a palindrome (265265562562).

The spelling of 241142321420 in words is "two hundred forty-one billion, one hundred forty-two million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 12045071 24090142 48180284 60225355 84315497 120450710 132495781 156585923 168630994 240901420 264991562 313171846 337261988 421577485 529983124 626343692 662478905 782929615 843154970 927470467 1096101461 1324957810 1565859230 1686309940 1722445153 1854940934 2192202922 2649915620 3131718460 3444890306 3709881868 4384405844 4637352335 5480507305 6889780612 8612225765 9274704670 10961014610 12057116071 17224451530 18549409340 21922029220 24114232142 34448903060 48228464284 60285580355 120571160710 241142321420