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3402230404440 = 23357382658659
BaseRepresentation
bin110001100000100100101…
…111000001010101011000
3110001020202021201221010210
4301200210233001111120
5421220231440420230
611122544005011120
7500542304166000
oct61404457012530
913036667657123
103402230404440
1110a1972404a2a
1246b4600b3aa0
131b8aa128698a
14ba9513ad000
155d776d62eb0
hex31824bc1558

3402230404440 has 128 divisors (see below), whose sum is σ = 11902847040000. Its totient is φ = 777652654464.

The previous prime is 3402230404439. The next prime is 3402230404481. The reversal of 3402230404440 is 444040322043.

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 = 3402230404398 and 3402230404407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41288170 + ... + 41370489.

It is an arithmetic number, because the mean of its divisors is an integer number (92990992500).

Almost surely, 23402230404440 is an apocalyptic number.

3402230404440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402230404440 is an abundant number, since it is smaller than the sum of its proper divisors (8500616635560).

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

3402230404440 is a wasteful number, since it uses less digits than its factorization.

3402230404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82658694 (or 82658676 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 3402230404440 its reverse (444040322043), we get a palindrome (3846270726483).

The spelling of 3402230404440 in words is "three trillion, four hundred two billion, two hundred thirty million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 82658659 165317318 247975977 330634636 413293295 495951954 578610613 661269272 826586590 991903908 1157221226 1239879885 1653173180 1735831839 1983807816 2314442452 2479759770 2893053065 3306346360 3471663678 4050274291 4628884904 4959519540 5786106130 6943327356 8100548582 8679159195 9919039080 11572212260 12150822873 13886654712 16201097164 17358318390 20251371455 23144424520 24301645746 28351920037 32402194328 34716636780 40502742910 48603291492 56703840074 60754114365 69433273560 81005485820 85055760111 97206582984 113407680148 121508228730 141759600185 162010971640 170111520222 226815360296 243016457460 283519200370 340223040444 425278800555 486032914920 567038400740 680446080888 850557601110 1134076801480 1701115202220 3402230404440