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241221351341344 = 25112334421865609
BaseRepresentation
bin110110110110001110111000…
…111101010111110100100000
31011122002112110201120200221111
4312312032320331113310200
5223104132311420410334
62213011320423433104
7101544444646444063
oct6666167075276440
91148075421520844
10241221351341344
116a951445228260
122307a3925b5794
13a47a0ca78ba1a
14437d2661968da
151cd4ac3195064
hexdb63b8f57d20

241221351341344 has 96 divisors (see below), whose sum is σ = 540619121508480. Its totient is φ = 104875680307200.

The previous prime is 241221351341303. The next prime is 241221351341357. The reversal of 241221351341344 is 443143153122142.

It is a junction number, because it is equal to n+sod(n) for n = 241221351341297 and 241221351341306.

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, 278239612 + ... + 279105220.

It is an arithmetic number, because the mean of its divisors is an integer number (5631449182380).

Almost surely, 2241221351341344 is an apocalyptic number.

It is an amenable number.

241221351341344 is an abundant number, since it is smaller than the sum of its proper divisors (299397770167136).

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

241221351341344 is a wasteful number, since it uses less digits than its factorization.

241221351341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900074 (or 900066 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The spelling of 241221351341344 in words is "two hundred forty-one trillion, two hundred twenty-one billion, three hundred fifty-one million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 34421 68842 137684 275368 378631 550736 757262 791683 865609 1101472 1514524 1583366 1731218 3029048 3166732 3462436 6058096 6333464 6924872 8708513 9521699 12116192 12666928 13849744 17417026 19043398 19909007 25333856 27699488 34834052 38086796 39818014 69668104 76173592 79636028 139336208 152347184 159272056 218999077 278672416 304694368 318544112 437998154 637088224 875996308 1751992616 3503985232 7007970464 29795127389 59590254778 119180509556 238361019112 327746401279 476722038224 655492802558 685287929947 953444076448 1310985605116 1370575859894 2621971210232 2741151719788 5243942420464 5482303439576 7538167229417 10487884840928 10964606879152 15076334458834 21929213758304 30152668917668 60305337835336 120610675670672 241221351341344