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2334094879920 = 2435197106946181
BaseRepresentation
bin100001111101110010111…
…001010110110010110000
322021010201002022020022120
4201331302321112302300
5301220211242124140
64544133545434240
7330430022061606
oct41756271266260
98233632266276
102334094879920
1181a97a789aa1
1231844379b980
1313c147c1992b
1480d83c0b876
1540aada2d1d0
hex21f72e56cb0

2334094879920 has 160 divisors (see below), whose sum is σ = 7279384178880. Its totient is φ = 618673090560.

The previous prime is 2334094879901. The next prime is 2334094879937. The reversal of 2334094879920 is 299784904332.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 50519230 + ... + 50565410.

It is an arithmetic number, because the mean of its divisors is an integer number (45496151118).

Almost surely, 22334094879920 is an apocalyptic number.

2334094879920 is a gapful number since it is divisible by the number (20) 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 2334094879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639692089440).

2334094879920 is an abundant number, since it is smaller than the sum of its proper divisors (4945289298960).

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

2334094879920 is a wasteful number, since it uses less digits than its factorization.

2334094879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47463 (or 47457 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 2334094879920 in words is "two trillion, three hundred thirty-four billion, ninety-four million, eight hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1069 1182 1576 1970 2138 2364 2955 3152 3207 3940 4276 4728 5345 5910 6414 7880 8552 9456 10690 11820 12828 15760 16035 17104 21380 23640 25656 32070 42760 46181 47280 51312 64140 85520 92362 128280 138543 184724 210593 230905 256560 277086 369448 421186 461810 554172 631779 692715 738896 842372 923620 1052965 1108344 1263558 1385430 1684744 1847240 2105930 2216688 2527116 2770860 3158895 3369488 3694480 4211860 5054232 5541720 6317790 8423720 9097657 10108464 11083440 12635580 16847440 18195314 25271160 27292971 36390628 45488285 49367489 50542320 54585942 72781256 90976570 98734978 109171884 136464855 145562512 148102467 181953140 197469956 218343768 246837445 272929710 296204934 363906280 394939912 436687536 493674890 545859420 592409868 727812560 740512335 789879824 987349780 1091718840 1184819736 1481024670 1974699560 2183437680 2369639472 2962049340 3949399120 5924098680 9725395333 11848197360 19450790666 29176185999 38901581332 48626976665 58352371998 77803162664 97253953330 116704743996 145880929995 155606325328 194507906660 233409487992 291761859990 389015813320 466818975984 583523719980 778031626640 1167047439960 2334094879920