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4104314240220 = 2232571419766471
BaseRepresentation
bin111011101110011100001…
…100010011110011011100
3112112100221201100011011200
4323232130030103303130
51014221113421141340
612421255042115500
7602345506264335
oct73563414236334
915470851304150
104104314240220
1113426a2431257
1256353a64bb90
1323a05c37222c
1410291535328c
1571b68d3d330
hex3bb9c313cdc

4104314240220 has 144 divisors (see below), whose sum is σ = 12655249850880. Its totient is φ = 1076491785600.

The previous prime is 4104314240207. The next prime is 4104314240237. The reversal of 4104314240220 is 220424134014.

4104314240220 is a `hidden beast` number, since 4 + 1 + 0 + 431 + 4 + 2 + 4 + 0 + 220 = 666.

It is a congruent number.

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, 4971585 + ... + 5738055.

It is an arithmetic number, because the mean of its divisors is an integer number (87883679520).

Almost surely, 24104314240220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104314240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327624925440).

4104314240220 is an abundant number, since it is smaller than the sum of its proper divisors (8550935610660).

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

4104314240220 is a wasteful number, since it uses less digits than its factorization.

4104314240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766976 (or 766971 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4104314240220 its reverse (220424134014), we get a palindrome (4324738374234).

The spelling of 4104314240220 in words is "four trillion, one hundred four billion, three hundred fourteen million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 419 426 639 710 838 852 1065 1257 1278 1420 1676 2095 2130 2514 2556 3195 3771 4190 4260 5028 6285 6390 7542 8380 12570 12780 15084 18855 25140 29749 37710 59498 75420 89247 118996 148745 178494 267741 297490 356988 446235 535482 594980 766471 892470 1070964 1338705 1532942 1784940 2299413 2677410 3065884 3832355 4598826 5354820 6898239 7664710 9197652 11497065 13796478 15329420 22994130 27592956 34491195 45988260 54419441 68982390 108838882 137964780 163258323 217677764 272097205 321151349 326516646 489774969 544194410 642302698 653033292 816291615 963454047 979549938 1088388820 1284605396 1605756745 1632583230 1926908094 1959099876 2448874845 2890362141 3211513490 3265166460 3853816188 4817270235 4897749690 5780724282 6423026980 9634540470 9795499380 11561448564 14451810705 19269080940 22801745779 28903621410 45603491558 57807242820 68405237337 91206983116 114008728895 136810474674 205215712011 228017457790 273620949348 342026186685 410431424022 456034915580 684052373370 820862848044 1026078560055 1368104746740 2052157120110 4104314240220