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31241310114440 = 2353183491618227
BaseRepresentation
bin1110001101001111011110…
…01100010001001010001000
311002121122021121200010010002
413012213233030101022020
513043324200342130230
6150240020522542132
76403052534310536
oct706475714211210
9132548247603102
1031241310114440
119a55402111598
123606937667948
13145807334614a
147a0132077156
153929d14d8545
hex1c69ef311288

31241310114440 has 128 divisors (see below), whose sum is σ = 73584365137920. Its totient is φ = 11923353926400.

The previous prime is 31241310114407. The next prime is 31241310114461. The reversal of 31241310114440 is 4441101314213.

It is a happy number.

It is a super-2 number, since 2×312413101144402 (a number of 28 digits) contains 22 as substring.

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, 50224607 + ... + 50842833.

It is an arithmetic number, because the mean of its divisors is an integer number (574877852640).

Almost surely, 231241310114440 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 31241310114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36792182568960).

31241310114440 is an abundant number, since it is smaller than the sum of its proper divisors (42343055023480).

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

31241310114440 is a wasteful number, since it uses less digits than its factorization.

31241310114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618843 (or 618839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 31241310114440 its reverse (4441101314213), we get a palindrome (35682411428653).

The spelling of 31241310114440 in words is "thirty-one trillion, two hundred forty-one billion, three hundred ten million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 83 124 155 166 248 310 332 415 491 620 664 830 982 1240 1660 1964 2455 2573 3320 3928 4910 5146 9820 10292 12865 15221 19640 20584 25730 30442 40753 51460 60884 76105 81506 102920 121768 152210 163012 203765 304420 326024 407530 608840 618227 815060 1236454 1263343 1630120 2472908 2526686 3091135 4945816 5053372 6182270 6316715 10106744 12364540 12633430 19165037 24729080 25266860 38330074 50533720 51312841 76660148 95825185 102625682 153320296 191650370 205251364 256564205 303549457 383300740 410502728 513128410 607098914 766601480 1026256820 1214197828 1517747285 1590698071 2052513640 2428395656 3035494570 3181396142 6070989140 6362792284 7953490355 9410033167 12141978280 12725584568 15906980710 18820066334 25194604931 31813961420 37640132668 47050165835 50389209862 63627922840 75280265336 94100331670 100778419724 125973024655 188200663340 201556839448 251946049310 376401326680 503892098620 781032752861 1007784197240 1562065505722 3124131011444 3905163764305 6248262022888 7810327528610 15620655057220 31241310114440