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31344130304240 = 24513673100944383
BaseRepresentation
bin1110010000001110111111…
…10000001010100011110000
311002222110200022222221110212
413020013133300022203300
513102020234324213430
6150355143352243252
76413352524433665
oct710073760124360
9132873608887425
1031344130304240
119a94a75464a66
1236228519a0528
13146497b201740
147a50c7895a6c
153954ed0e9b95
hex1c81dfc0a8f0

31344130304240 has 160 divisors (see below), whose sum is σ = 78677162672640. Its totient is φ = 11544307826688.

The previous prime is 31344130304167. The next prime is 31344130304243. The reversal of 31344130304240 is 4240303144313.

It is a junction number, because it is equal to n+sod(n) for n = 31344130304197 and 31344130304206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344130304243) 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, 706197089 + ... + 706241471.

It is an arithmetic number, because the mean of its divisors is an integer number (491732266704).

Almost surely, 231344130304240 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 31344130304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338581336320).

31344130304240 is an abundant number, since it is smaller than the sum of its proper divisors (47333032368400).

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

31344130304240 is a wasteful number, since it uses less digits than its factorization.

31344130304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46091 (or 46085 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 31344130304240 its reverse (4240303144313), we get a palindrome (35584433448553).

The spelling of 31344130304240 in words is "thirty-one trillion, three hundred forty-four billion, one hundred thirty million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 673 1009 1040 1346 2018 2692 3365 4036 5045 5384 6730 8072 8749 10090 10768 13117 13460 16144 17498 20180 26234 26920 34996 40360 43745 44383 52468 53840 65585 69992 80720 87490 88766 104936 131170 139984 174980 177532 209872 221915 262340 349960 355064 443830 524680 576979 679057 699920 710128 887660 1049360 1153958 1358114 1775320 2307916 2716228 2884895 3395285 3550640 4615832 5432456 5769790 6790570 8827741 9231664 10864912 11539580 13581140 17655482 23079160 27162280 29869759 35310964 44138705 44782447 46158320 54324560 59739518 70621928 88277410 89564894 119479036 141243856 149348795 176554820 179129788 223912235 238958072 298697590 353109640 358259576 388306867 447824470 477916144 582171811 597395180 706219280 716519152 776613734 895648940 1164343622 1194790360 1553227468 1791297880 1941534335 2328687244 2389580720 2910859055 3106454936 3582595760 3883068670 4657374488 5821718110 6212909872 7766137340 9314748976 11643436220 15532274680 23286872440 30138586831 31064549360 46573744880 60277173662 120554347324 150692934155 241108694648 301385868310 391801628803 482217389296 602771736620 783603257606 1205543473240 1567206515212 1959008144015 2411086946480 3134413030424 3918016288030 6268826060848 7836032576060 15672065152120 31344130304240