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141221100344324 = 227111390133913237
BaseRepresentation
bin100000000111000010011001…
…100001010101010000000100
3200112000121100021222012110212
4200013002121201111100010
5122002231303142004244
61220204024453134552
741513613341665010
oct4007023141252004
9615017307865425
10141221100344324
1140aa7594577330
1213a0971892a458
1360a5128644640
1426c31cdcc9540
15114d741845d9e
hex807099855404

141221100344324 has 96 divisors (see below), whose sum is σ = 331857108339456. Its totient is φ = 50783159278080.

The previous prime is 141221100344231. The next prime is 141221100344347. The reversal of 141221100344324 is 423443001122141.

141221100344324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 34131434 + ... + 38044670.

It is an arithmetic number, because the mean of its divisors is an integer number (3456844878536).

Almost surely, 2141221100344324 is an apocalyptic number.

141221100344324 is a gapful number since it is divisible by the number (14) 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 141221100344324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165928554169728).

141221100344324 is an abundant number, since it is smaller than the sum of its proper divisors (190636007995132).

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

141221100344324 is a wasteful number, since it uses less digits than its factorization.

141221100344324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922285 (or 3922283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 141221100344324 its reverse (423443001122141), we get a palindrome (564664101466465).

The spelling of 141221100344324 in words is "one hundred forty-one trillion, two hundred twenty-one billion, one hundred million, three hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 9013 18026 36052 63091 99143 117169 126182 198286 234338 252364 396572 468676 694001 820183 1288859 1388002 1640366 2577718 2776004 3280732 3913237 5155436 7826474 9022013 15652948 18044026 27392659 36088052 43045607 50872081 54785318 86091214 101744162 109570636 172182428 203488324 301319249 356104567 559592891 602638498 712209134 1119185782 1205276996 1424418268 2238371564 3917150237 7834300474 15668600948 35270005081 70540010162 141080020324 246890035567 387970055891 458510066053 493780071134 775940111782 917020132106 987560142268 1551880223564 1834040264212 2715790391237 3209570462371 5043610726583 5431580782474 6419140924742 10087221453166 10863161564948 12838281849484 20174442906332 35305275086081 70610550172162 141221100344324