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31344444113024 = 277194342818407
BaseRepresentation
bin1110010000001111100100…
…11101010000000010000000
311002222111111012111002012102
413020013302131100002000
513102021410143104044
6150355234442245532
76413363354655260
oct710076235200200
9132874435432172
1031344444113024
119a95116610169
12362291aab68a8
1314649cb225903
147a51174217a0
1539551a93524e
hex1c81f2750080

31344444113024 has 128 divisors (see below), whose sum is σ = 76867606041600. Its totient is φ = 12430354535424.

The previous prime is 31344444112939. The next prime is 31344444113029. The reversal of 31344444113024 is 42031144444313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (31344444113029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20677172 + ... + 22141235.

It is an arithmetic number, because the mean of its divisors is an integer number (600528172200).

Almost surely, 231344444113024 is an apocalyptic number.

It is an amenable number.

31344444113024 is an abundant number, since it is smaller than the sum of its proper divisors (45523161928576).

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

31344444113024 is a wasteful number, since it uses less digits than its factorization.

31344444113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42818490 (or 42818478 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 31344444113024 its reverse (42031144444313), we get a palindrome (73375588557337).

The spelling of 31344444113024 in words is "thirty-one trillion, three hundred forty-four billion, four hundred forty-four million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 152 172 224 266 301 304 344 448 532 602 608 688 817 896 1064 1204 1216 1376 1634 2128 2408 2432 2752 3268 4256 4816 5504 5719 6536 8512 9632 11438 13072 17024 19264 22876 26144 38528 45752 52288 91504 104576 183008 366016 732032 42818407 85636814 171273628 299728849 342547256 599457698 685094512 813549733 1198915396 1370189024 1627099466 1841191501 2397830792 2740378048 3254198932 3682383002 4795661584 5480756096 5694848131 6508397864 7364766004 9591323168 11389696262 12888340507 13016795728 14729532008 19182646336 22779392524 25776681014 26033591456 29459064016 34982638519 38365292672 45558785048 51553362028 52067182912 58918128032 69965277038 91117570096 103106724056 104134365824 117836256064 139930554076 182235140192 206213448112 235672512128 244878469633 279861108152 364470280384 412426896224 489756939266 559722216304 728940560768 824853792448 979513878532 1119444432608 1649707584896 1959027757064 2238888865216 3918055514128 4477777730432 7836111028256 15672222056512 31344444113024