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312424202033240 = 235115463112997291
BaseRepresentation
bin100011100001001011110110…
…1100101001101100001011000
31111222012110110210222201211212
41013002113231211031201120
5311422224231210030430
63024245410320042252
7122543621655340223
oct10702275545154130
91458173423881755
10312424202033240
11906033a6190490
122b059aa1163388
131054362554895b
1457215aa9a45ba
15261bd0cc75b95
hex11c25ed94d858

312424202033240 has 64 divisors (see below), whose sum is σ = 766873501067520. Its totient is φ = 113606712432000.

The previous prime is 312424202033231. The next prime is 312424202033341. The reversal of 312424202033240 is 42330202424213.

It is a super-2 number, since 2×3124242020332402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312424202033197 and 312424202033206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17538995 + ... + 30536285.

It is an arithmetic number, because the mean of its divisors is an integer number (11982398454180).

Almost surely, 2312424202033240 is an apocalyptic number.

It is an amenable number.

312424202033240 is an abundant number, since it is smaller than the sum of its proper divisors (454449299034280).

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

312424202033240 is a wasteful number, since it uses less digits than its factorization.

312424202033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051944 (or 13051940 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 312424202033240 its reverse (42330202424213), we get a palindrome (354754404457453).

The spelling of 312424202033240 in words is "three hundred twelve trillion, four hundred twenty-four billion, two hundred two million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 54631 109262 218524 273155 437048 546310 600941 1092620 1201882 2185240 2403764 3004705 4807528 6009410 12018820 12997291 24037640 25994582 51989164 64986455 103978328 129972910 142970201 259945820 285940402 519891640 571880804 714851005 1143761608 1429702010 2859404020 5718808040 710055004621 1420110009242 2840220018484 3550275023105 5680440036968 7100550046210 7810605050831 14201100092420 15621210101662 28402200184840 31242420203324 39053025254155 62484840406648 78106050508310 156212101016620 312424202033240