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343230000140000 = 2554162710547941
BaseRepresentation
bin100111000001010100111011…
…0001111000000111011100000
31200000021110121211222120112102
41032002221312033000323200
5324441440020013440000
63213553404005145532
7132203356240656011
oct11602516617007340
91600243554876472
10343230000140000
119a4000311006a6
12325b43346bb2a8
13119695b0c3236c
1460a85c636d008
1529a32eed993d5
hex1382a763c0ee0

343230000140000 has 120 divisors (see below), whose sum is σ = 844916355287928. Its totient is φ = 137207603520000.

The previous prime is 343230000139979. The next prime is 343230000140017. The reversal of 343230000140000 is 41000032343.

It is a super-2 number, since 2×3432300001400002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27266030 + ... + 37813970.

Almost surely, 2343230000140000 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 343230000140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422458177643964).

343230000140000 is an abundant number, since it is smaller than the sum of its proper divisors (501686355147928).

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

343230000140000 is a wasteful number, since it uses less digits than its factorization.

343230000140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549598 (or 10549575 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 343230000140000 its reverse (41000032343), we get a palindrome (343271000172343).

The spelling of 343230000140000 in words is "three hundred forty-three trillion, two hundred thirty billion, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1627 2000 2500 3254 4000 5000 6508 8135 10000 13016 16270 20000 26032 32540 40675 52064 65080 81350 130160 162700 203375 260320 325400 406750 650800 813500 1016875 1301600 1627000 2033750 3254000 4067500 6508000 8135000 10547941 16270000 21095882 32540000 42191764 52739705 84383528 105479410 168767056 210958820 263698525 337534112 421917640 527397050 843835280 1054794100 1318492625 1687670560 2109588200 2636985250 4219176400 5273970500 6592463125 8438352800 10547941000 13184926250 17161500007 21095882000 26369852500 34323000014 42191764000 52739705000 68646000028 85807500035 105479410000 137292000056 171615000070 210958820000 274584000112 343230000140 429037500175 549168000224 686460000280 858075000350 1372920000560 1716150000700 2145187500875 2745840001120 3432300001400 4290375001750 6864600002800 8580750003500 10725937504375 13729200005600 17161500007000 21451875008750 34323000014000 42903750017500 68646000028000 85807500035000 171615000070000 343230000140000