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3014420422120 = 2351741731481113
BaseRepresentation
bin101011110111011001011…
…101010101110111101000
3101200011202010211121202021
4223313121131111313220
5343342013112001440
610224450003114224
7430533101552062
oct53673135256750
911604663747667
103014420422120
11a62454819308
1240826b372974
1318b349280963
14a5c8216c732
155362a72184a
hex2bdd9755de8

3014420422120 has 128 divisors (see below), whose sum is σ = 7457349745440. Its totient is φ = 1091994255360.

The previous prime is 3014420422093. The next prime is 3014420422121. The reversal of 3014420422120 is 212240244103.

It can be written as a sum of positive squares in 16 ways, for example, as 356378884 + 3014064043236 = 18878^2 + 1736106^2 .

It is not an unprimeable number, because it can be changed into a prime (3014420422121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294684 + ... + 2775796.

Almost surely, 23014420422120 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 3014420422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728674872720).

3014420422120 is an abundant number, since it is smaller than the sum of its proper divisors (4442929323320).

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

3014420422120 is a wasteful number, since it uses less digits than its factorization.

3014420422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481255 (or 1481251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 3014420422120 its reverse (212240244103), we get a palindrome (3226660666223).

The spelling of 3014420422120 in words is "three trillion, fourteen billion, four hundred twenty million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 73 82 85 136 146 164 170 205 292 328 340 365 410 584 680 697 730 820 1241 1394 1460 1640 2482 2788 2920 2993 3485 4964 5576 5986 6205 6970 9928 11972 12410 13940 14965 23944 24820 27880 29930 49640 50881 59860 101762 119720 203524 254405 407048 508810 1017620 1481113 2035240 2962226 5924452 7405565 11848904 14811130 25178921 29622260 50357842 59244520 60725633 100715684 108121249 121451266 125894605 201431368 216242498 242902532 251789210 303628165 432484996 485805064 503578420 540606245 607256330 864969992 1007156840 1032335761 1081212490 1214512660 1838061233 2064671522 2162424980 2429025320 3676122466 4129343044 4324849960 4432971209 5161678805 7352244932 8258686088 8865942418 9190306165 10323357610 14704489864 17731884836 18380612330 20646715220 22164856045 35463769672 36761224660 41293430440 44329712090 73522449320 75360510553 88659424180 150721021106 177318848360 301442042212 376802552765 602884084424 753605105530 1507210211060 3014420422120