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413243011044100 = 2252233147123315631
BaseRepresentation
bin101110111110101111010001…
…0111000010001001100000100
32000012011122102221220202102001
41131331132202320101030010
5413131033141311402400
64022521115105355044
7153020552022333046
oct13575364270211404
92005148387822361
10413243011044100
1110a743416569626
123a421320338a84
1314977858357c93
1474090d5b9ba96
1532b95ebc47a6a
hex177d7a2e11304

413243011044100 has 144 divisors (see below), whose sum is σ = 986461918396416. Its totient is φ = 149754501072000.

The previous prime is 413243011044091. The next prime is 413243011044209. The reversal of 413243011044100 is 1440110342314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58306716 + ... + 65008915.

It is an arithmetic number, because the mean of its divisors is an integer number (6850429988864).

Almost surely, 2413243011044100 is an apocalyptic number.

It is an amenable number.

413243011044100 is an abundant number, since it is smaller than the sum of its proper divisors (573218907352316).

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

413243011044100 is a wasteful number, since it uses less digits than its factorization.

413243011044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123315746 (or 123315739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 413243011044100 its reverse (1440110342314), we get a palindrome (414683121386414).

The spelling of 413243011044100 in words is "four hundred thirteen trillion, two hundred forty-three billion, eleven million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 47 50 62 92 94 100 115 124 155 188 230 235 310 460 470 575 620 713 775 940 1081 1150 1175 1426 1457 1550 2162 2300 2350 2852 2914 3100 3565 4324 4700 5405 5828 7130 7285 10810 14260 14570 17825 21620 27025 29140 33511 35650 36425 54050 67022 71300 72850 108100 134044 145700 167555 335110 670220 837775 1675550 3351100 123315631 246631262 493262524 616578155 1233156310 2466312620 2836259513 3082890775 3822784561 5672519026 5795834657 6165781550 7645569122 11345038052 11591669314 12331563100 14181297565 15291138244 19113922805 23183338628 28362595130 28979173285 38227845610 56725190260 57958346570 70906487825 76455691220 87924044903 95569614025 115916693140 133304197111 141812975650 144895866425 175848089806 179670874367 191139228050 266608394222 283625951300 289791732850 351696179612 359341748734 382278456100 439620224515 533216788444 579583465700 666520985555 718683497468 879240449030 898354371835 1333041971110 1758480898060 1796708743670 2198101122575 2666083942220 3332604927775 3593417487340 4132430110441 4396202245150 4491771859175 6665209855550 8264860220882 8792404490300 8983543718350 13330419711100 16529720441764 17967087436700 20662150552205 41324301104410 82648602208820 103310752761025 206621505522050 413243011044100