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31210041343440 = 24352334916200553
BaseRepresentation
bin1110001100010101001110…
…11011010111110111010000
311002111122120102221222010110
413012022213123113313100
513042321131040442230
6150213410044401320
76400564630166061
oct706124733276720
9132448512858113
1031210041343440
119a43116770093
12360086b846240
13145512c15b59b
1479c80731a568
15391ca12dc4b0
hex1c62a76d7dd0

31210041343440 has 160 divisors (see below), whose sum is σ = 101246982278400. Its totient is φ = 7938011271168.

The previous prime is 31210041343427. The next prime is 31210041343457. The reversal of 31210041343440 is 4434314001213.

31210041343440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 31210041343398 and 31210041343407.

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, 6173797 + ... + 10026756.

It is an arithmetic number, because the mean of its divisors is an integer number (632793639240).

Almost surely, 231210041343440 is an apocalyptic number.

31210041343440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31210041343440 is an abundant number, since it is smaller than the sum of its proper divisors (70036940934960).

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

31210041343440 is a wasteful number, since it uses less digits than its factorization.

31210041343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16200941 (or 16200935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31210041343440 its reverse (4434314001213), we get a palindrome (35644355344653).

The spelling of 31210041343440 in words is "thirty-one trillion, two hundred ten billion, forty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 349 368 460 552 690 698 920 1047 1104 1380 1396 1745 1840 2094 2760 2792 3490 4188 5235 5520 5584 6980 8027 8376 10470 13960 16054 16752 20940 24081 27920 32108 40135 41880 48162 64216 80270 83760 96324 120405 128432 160540 192648 240810 321080 385296 481620 642160 963240 1926480 16200553 32401106 48601659 64802212 81002765 97203318 129604424 162005530 194406636 243008295 259208848 324011060 372612719 388813272 486016590 648022120 745225438 777626544 972033180 1117838157 1296044240 1490450876 1863063595 1944066360 2235676314 2980901752 3726127190 3888132720 4471352628 5589190785 5653992997 5961803504 7452254380 8942705256 11178381570 11307985994 14904508760 16961978991 17885410512 22356763140 22615971988 28269964985 29809017520 33923957982 44713526280 45231943976 56539929970 67847915964 84809894955 89427052560 90463887952 113079859940 130041838931 135695831928 169619789910 226159719880 260083677862 271391663856 339239579820 390125516793 452319439760 520167355724 650209194655 678479159640 780251033586 1040334711448 1300418389310 1356958319280 1560502067172 1950627583965 2080669422896 2600836778620 3121004134344 3901255167930 5201673557240 6242008268688 7802510335860 10403347114480 15605020671720 31210041343440