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340101422540 = 2251129117145523
BaseRepresentation
bin1001111001011111001…
…11111101110111001100
31012111212020211100210222
410330233213331313030
521033011431010130
6420123533450512
733400013251565
oct4745747756714
91174766740728
10340101422540
11121266428620
1255ab7340a38
13260c0c022b9
1412664d9116c
158ca802bce5
hex4f2f9fddcc

340101422540 has 96 divisors (see below), whose sum is σ = 806714415360. Its totient is φ = 119304057600.

The previous prime is 340101422519. The next prime is 340101422597. The reversal of 340101422540 is 45224101043.

It is a super-2 number, since 2×3401014225402 (a number of 24 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, 7448219 + ... + 7493741.

It is an arithmetic number, because the mean of its divisors is an integer number (8403275160).

Almost surely, 2340101422540 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 340101422540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403357207680).

340101422540 is an abundant number, since it is smaller than the sum of its proper divisors (466612992820).

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

340101422540 is a wasteful number, since it uses less digits than its factorization.

340101422540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46743 (or 46741 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 340101422540 its reverse (45224101043), we get a palindrome (385325523583).

The spelling of 340101422540 in words is "three hundred forty billion, one hundred one million, four hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1171 1276 1595 2342 3190 4684 5855 6380 11710 12881 23420 25762 33959 45523 51524 64405 67918 91046 128810 135836 169795 182092 227615 257620 339590 373549 455230 500753 679180 747098 910460 1001506 1320167 1494196 1867745 2003012 2503765 2640334 3735490 5007530 5280668 6600835 7470980 10015060 13201670 14521837 26403340 29043674 53307433 58087348 72609185 106614866 145218370 213229732 266537165 290436740 533074330 586381763 1066148660 1172763526 1545915557 2345527052 2931908815 3091831114 5863817630 6183662228 7729577785 11727635260 15459155570 17005071127 30918311140 34010142254 68020284508 85025355635 170050711270 340101422540