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3414121552520 = 2357174316680289
BaseRepresentation
bin110001101011101001100…
…000001001101010001000
3110002101110000000211201122
4301223221200021222020
5421414110104140040
611132231545334412
7501443054242130
oct61535140115210
913071400024648
103414121552520
1110a6a14679538
1247181a497408
131b9c479c8883
14bb35c773ac0
155dc20c811b5
hex31ae9809a88

3414121552520 has 128 divisors (see below), whose sum is σ = 9511768569600. Its totient is φ = 1076078739456.

The previous prime is 3414121552487. The next prime is 3414121552529. The reversal of 3414121552520 is 252551214143.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3414121552529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8135465 + ... + 8544824.

It is an arithmetic number, because the mean of its divisors is an integer number (74310691950).

Almost surely, 23414121552520 is an apocalyptic number.

It is an amenable number.

3414121552520 is an abundant number, since it is smaller than the sum of its proper divisors (6097647017080).

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

3414121552520 is a wasteful number, since it uses less digits than its factorization.

3414121552520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680367 (or 16680363 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 3414121552520 its reverse (252551214143), we get a palindrome (3666672766663).

The spelling of 3414121552520 in words is "three trillion, four hundred fourteen billion, one hundred twenty-one million, five hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 43 56 68 70 85 86 119 136 140 170 172 215 238 280 301 340 344 430 476 595 602 680 731 860 952 1190 1204 1462 1505 1720 2380 2408 2924 3010 3655 4760 5117 5848 6020 7310 10234 12040 14620 20468 25585 29240 40936 51170 102340 204680 16680289 33360578 66721156 83401445 116762023 133442312 166802890 233524046 283564913 333605780 467048092 567129826 583810115 667211560 717252427 934096184 1134259652 1167620230 1417824565 1434504854 1984954391 2268519304 2335240460 2835649130 2869009708 3586262135 3969908782 4670480920 5020766989 5671298260 5738019416 7172524270 7939817564 9924771955 10041533978 11342596520 12193291259 14345048540 15879635128 19849543910 20083067956 24386582518 25103834945 28690097080 39699087820 40166135912 48773165036 50207669890 60966456295 79398175640 85353038813 97546330072 100415339780 121932912590 170706077626 200830679560 243865825180 341412155252 426765194065 487731650360 682824310504 853530388130 1707060776260 3414121552520