Search a number
-
+
331244440412424 = 233711194991967587
BaseRepresentation
bin100101101010000111101101…
…1001101000110000100001000
31121102211122210120211022112120
41023110033123031012010020
5321404102103221144144
63132255332320211240
7126525423012145050
oct11324173315060410
91542748716738476
10331244440412424
11965a9a840a7240
1231199484a69b20
13112aa2a8123796
145bb2460512560
152846664a77e19
hex12d43db346108

331244440412424 has 128 divisors (see below), whose sum is σ = 1032979948416000. Its totient is φ = 85993371613440.

The previous prime is 331244440412419. The next prime is 331244440412429. The reversal of 331244440412424 is 424214044442133.

It is an interprime number because it is at equal distance from previous prime (331244440412419) and next prime (331244440412429).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (331244440412429) 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, 42382042 + ... + 49585545.

It is an arithmetic number, because the mean of its divisors is an integer number (8070155847000).

Almost surely, 2331244440412424 is an apocalyptic number.

It is an amenable number.

331244440412424 is an abundant number, since it is smaller than the sum of its proper divisors (701735508003576).

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

331244440412424 is a wasteful number, since it uses less digits than its factorization.

331244440412424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91969563 (or 91969559 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 331244440412424 its reverse (424214044442133), we get a palindrome (755458484854557).

The spelling of 331244440412424 in words is "three hundred thirty-one trillion, two hundred forty-four billion, four hundred forty million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1949 3898 5847 7796 11694 13643 15592 21439 23388 27286 40929 42878 46776 54572 64317 81858 85756 109144 128634 150073 163716 171512 257268 300146 327432 450219 514536 600292 900438 1200584 1800876 3601752 91967587 183935174 275902761 367870348 551805522 643773109 735740696 1011643457 1103611044 1287546218 1931319327 2023286914 2207222088 2575092436 3034930371 3862638654 4046573828 5150184872 6069860742 7081504199 7725277308 8093147656 12139721484 14163008398 15450554616 21244512597 24279442968 28326016796 42489025194 56652033592 84978050388 169956100776 179244827063 358489654126 537734481189 716979308252 1075468962378 1254713789441 1433958616504 1971693097693 2150937924756 2509427578882 3764141368323 3943386195386 4301875849512 5018855157764 5915079293079 7528282736646 7886772390772 10037710315528 11830158586158 13801851683851 15056565473292 15773544781544 23660317172316 27603703367702 30113130946584 41405555051553 47320634344632 55207406735404 82811110103106 110414813470808 165622220206212 331244440412424