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4114231411320 = 233355820765447
BaseRepresentation
bin111011110111101011010…
…011010100001001111000
3112120022112212020122102000
4323313223103110021320
51014401421220130240
612430015105341000
7603146326661532
oct73675323241170
915508485218360
104114231411320
111346921412728
12565447937760
1323ac7cb4b804
141031b64b4852
15720497d9430
hex3bdeb4d4278

4114231411320 has 128 divisors (see below), whose sum is σ = 13714549862400. Its totient is φ = 1097092764288.

The previous prime is 4114231411261. The next prime is 4114231411337. The reversal of 4114231411320 is 231141324114.

It is a happy number.

4114231411320 is a `hidden beast` number, since 4 + 1 + 14 + 2 + 314 + 11 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 62830837 + ... + 62896283.

It is an arithmetic number, because the mean of its divisors is an integer number (107144920800).

Almost surely, 24114231411320 is an apocalyptic number.

4114231411320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114231411320 is an abundant number, since it is smaller than the sum of its proper divisors (9600318451080).

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

4114231411320 is a wasteful number, since it uses less digits than its factorization.

4114231411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123674 (or 123664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4114231411320 its reverse (231141324114), we get a palindrome (4345372735434).

The spelling of 4114231411320 in words is "four trillion, one hundred fourteen billion, two hundred thirty-one million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 58207 65447 116414 130894 174621 196341 232828 261788 291035 327235 349242 392682 465656 523576 523863 582070 589023 654470 698484 785364 873105 981705 1047726 1164140 1178046 1308940 1396968 1570728 1571589 1746210 1767069 1963410 2095452 2328280 2356092 2617880 2619315 2945115 3143178 3492420 3534138 3926820 4190904 4712184 5238630 5890230 6286356 6984840 7068276 7853640 7857945 8835345 10477260 11780460 12572712 14136552 15715890 17670690 20954520 23560920 31431780 35341380 62863560 70682760 3809473529 7618947058 11428420587 15237894116 19047367645 22856841174 30475788232 34285261761 38094735290 45713682348 57142102935 68570523522 76189470580 91427364696 102855785283 114284205870 137141047044 152378941160 171426308805 205711570566 228568411740 274282094088 342852617610 411423141132 457136823480 514278926415 685705235220 822846282264 1028557852830 1371410470440 2057115705660 4114231411320