Search a number
-
+
31441210204320 = 2532573119167679
BaseRepresentation
bin1110010011000011110100…
…01010100110000010100000
311010022202020222221211200200
413021201322022212002200
513110113044303014240
6150511520443345200
76423360333115440
oct711417212460240
9133282228854620
1031441210204320
11a022162542844
123639625822200
131470b7ca536b7
147a9a96b8c120
15397cd0cc4930
hex1c987a2a60a0

31441210204320 has 144 divisors (see below), whose sum is σ = 122620719836160. Its totient is φ = 7186562330112.

The previous prime is 31441210204303. The next prime is 31441210204321. The reversal of 31441210204320 is 2340201214413.

31441210204320 is a `hidden beast` number, since 3 + 1 + 4 + 412 + 10 + 204 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×314412102043202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31441210204321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1559573760 + ... + 1559593919.

It is an arithmetic number, because the mean of its divisors is an integer number (851532776640).

Almost surely, 231441210204320 is an apocalyptic number.

31441210204320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31441210204320 is an abundant number, since it is smaller than the sum of its proper divisors (91179509631840).

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

31441210204320 is a wasteful number, since it uses less digits than its factorization.

31441210204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119167707 (or 3119167696 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31441210204320 its reverse (2340201214413), we get a palindrome (33781411418733).

The spelling of 31441210204320 in words is "thirty-one trillion, four hundred forty-one billion, two hundred ten million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 3119167679 6238335358 9357503037 12476670716 15595838395 18715006074 21834173753 24953341432 28072509111 31191676790 37430012148 43668347506 46787515185 49906682864 56145018222 62383353580 65502521259 74860024296 87336695012 93575030370 99813365728 109170868765 112290036444 124766707160 131005042518 140362545555 149720048592 174673390024 187150060740 196507563777 218341737530 224580072888 249533414320 262010085036 280725091110 299440097184 327512606295 349346780048 374300121480 393015127554 436683475060 449160145776 499066828640 524020170072 561450182220 655025212590 698693560096 748600242960 786030255108 873366950120 898320291552 982537818885 1048040340144 1122900364440 1310050425180 1497200485920 1572060510216 1746733900240 1965075637770 2096080680288 2245800728880 2620100850360 3144121020432 3493467800480 3930151275540 4491601457760 5240201700720 6288242040864 7860302551080 10480403401440 15720605102160 31441210204320