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426090840318 = 2331113302318253
BaseRepresentation
bin1100011001101001111…
…11100100000011111110
31111201211000002101102000
412030310333210003332
523440113223342233
6523424325243130
742532633245603
oct6146477440376
91451730071360
10426090840318
11154782197950
126a6b4b634a6
1331245b692b0
14168a13826aa
15b13c242d13
hex6334fe40fe

426090840318 has 128 divisors (see below), whose sum is σ = 1112833935360. Its totient is φ = 119140295040.

The previous prime is 426090840299. The next prime is 426090840337. The reversal of 426090840318 is 813048090624.

It is a happy number.

426090840318 is a `hidden beast` number, since 4 + 2 + 609 + 0 + 8 + 4 + 0 + 31 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (426090840299) and next prime (426090840337).

It is a super-2 number, since 2×4260908403182 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23334480 + ... + 23352732.

It is an arithmetic number, because the mean of its divisors is an integer number (8694015120).

Almost surely, 2426090840318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426090840318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416967680).

426090840318 is an abundant number, since it is smaller than the sum of its proper divisors (686743095042).

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

426090840318 is a wasteful number, since it uses less digits than its factorization.

426090840318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21311 (or 21305 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 426090840318 in words is "four hundred twenty-six billion, ninety million, eight hundred forty thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3023 3861 6046 7722 9069 18138 18253 27207 33253 36506 39299 54414 54759 66506 78598 81621 99759 109518 117897 163242 164277 199518 200783 235794 237289 299277 328554 353691 401566 432289 474578 492831 598554 602349 707382 711867 864578 897831 985662 1061073 1204698 1296867 1423734 1795662 1807047 2122146 2135601 2593734 2610179 3614094 3890601 4271202 5220358 5421141 6406803 7781202 7830537 10842282 11671803 12813606 15661074 23343606 23491611 46983222 55178819 70474833 110357638 140949666 165536457 331072914 496609371 606967009 717324647 993218742 1213934018 1434649294 1489828113 1820901027 2151973941 2979656226 3641802054 4303947882 5462703081 6455921823 7890571117 10925406162 12911843646 15781142234 16388109243 19367765469 23671713351 32776218486 38735530938 47343426702 71015140053 142030280106 213045420159 426090840318