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4333220504040 = 2335231831857459
BaseRepresentation
bin111111000011101000000…
…100011010000111101000
3120100020210120212012001210
4333003220010122013220
51031443413422112130
613114353133513120
7625031146363101
oct77035004320750
916306716765053
104333220504040
11142078800a28a
1259b9829427a0
1325580c28990c
1410da2c4d13a8
1577ab4d915b0
hex3f0e811a1e8

4333220504040 has 128 divisors (see below), whose sum is σ = 13572288460800. Its totient is φ = 1104680290560.

The previous prime is 4333220504033. The next prime is 4333220504077. The reversal of 4333220504040 is 404050223334.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4333220503989 and 4333220504007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4624831 + ... + 5482289.

It is an arithmetic number, because the mean of its divisors is an integer number (106033503600).

Almost surely, 24333220504040 is an apocalyptic number.

4333220504040 is a gapful number since it is divisible by the number (40) 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 4333220504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786144230400).

4333220504040 is an abundant number, since it is smaller than the sum of its proper divisors (9239067956760).

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

4333220504040 is a wasteful number, since it uses less digits than its factorization.

4333220504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859327 (or 859323 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 4333220504040 its reverse (404050223334), we get a palindrome (4737270727374).

The spelling of 4333220504040 in words is "four trillion, three hundred thirty-three billion, two hundred twenty million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1831 2760 3662 5493 7324 9155 10986 14648 18310 21972 27465 36620 42113 43944 54930 73240 84226 109860 126339 168452 210565 219720 252678 336904 421130 505356 631695 842260 857459 1010712 1263390 1684520 1714918 2526780 2572377 3429836 4287295 5053560 5144754 6859672 8574590 10289508 12861885 17149180 19721557 20579016 25723770 34298360 39443114 51447540 59164671 78886228 98607785 102895080 118329342 157772456 197215570 236658684 295823355 394431140 473317368 591646710 788862280 1183293420 1570007429 2366586840 3140014858 4710022287 6280029716 7850037145 9420044574 12560059432 15700074290 18840089148 23550111435 31400148580 36110170867 37680178296 47100222870 62800297160 72220341734 94200445740 108330512601 144440683468 180550854335 188400891480 216661025202 288881366936 361101708670 433322050404 541652563005 722203417340 866644100808 1083305126010 1444406834680 2166610252020 4333220504040