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5414343331440 = 2435619121729947
BaseRepresentation
bin100111011001010000000…
…0000101100111001110000
3201011121100220012020011210
41032302200000230321300
51202202033343101230
615303152012040120
71066113321653031
oct116624000547160
921147326166153
105414343331440
1117a823472808a
12735404763040
133037551a1274
1414a0ac874a88
1595c8d46aeb0
hex4eca002ce70

5414343331440 has 160 divisors (see below), whose sum is σ = 16825955569920. Its totient is φ = 1440259817472.

The previous prime is 5414343331421. The next prime is 5414343331447. The reversal of 5414343331440 is 441333434145.

It is a super-2 number, since 2×54143433314402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414343331447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180782547 + ... + 180812493.

It is an arithmetic number, because the mean of its divisors is an integer number (105162222312).

Almost surely, 25414343331440 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 5414343331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412977784960).

5414343331440 is an abundant number, since it is smaller than the sum of its proper divisors (11411612238480).

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

5414343331440 is a wasteful number, since it uses less digits than its factorization.

5414343331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31799 (or 31793 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 5414343331440 its reverse (441333434145), we get a palindrome (5855676765585).

The spelling of 5414343331440 in words is "five trillion, four hundred fourteen billion, three hundred forty-three million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 619 1217 1238 1857 2434 2476 3095 3651 3714 4868 4952 6085 6190 7302 7428 9285 9736 9904 12170 12380 14604 14856 18255 18570 19472 24340 24760 29208 29712 29947 36510 37140 48680 49520 58416 59894 73020 74280 89841 97360 119788 146040 148560 149735 179682 239576 292080 299470 359364 449205 479152 598940 718728 753323 898410 1197880 1437456 1506646 1796820 2259969 2395760 3013292 3593640 3766615 4519938 6026584 7187280 7533230 9039876 11299845 12053168 15066460 18079752 18537193 22599690 30132920 36159504 36445499 37074386 45199380 55611579 60265840 72890998 74148772 90398760 92685965 109336497 111223158 145781996 148297544 180797520 182227495 185371930 218672994 222446316 278057895 291563992 296595088 364454990 370743860 437345988 444892632 546682485 556115790 583127984 728909980 741487720 874691976 889785264 1093364970 1112231580 1457819960 1482975440 1749383952 2186729940 2224463160 2915639920 4373459880 4448926320 8746919760 22559763881 45119527762 67679291643 90239055524 112798819405 135358583286 180478111048 225597638810 270717166572 338396458215 360956222096 451195277620 541434333144 676792916430 902390555240 1082868666288 1353585832860 1804781110480 2707171665720 5414343331440