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340121441000 = 23531122810921
BaseRepresentation
bin1001111001100001101…
…00010101001011101000
31012111220122111101222102
410330300310111023220
521033032042103000
6420125530512532
733400345355465
oct4746064251350
91174818441872
10340121441000
11121276760800
1255b01b95748
13260c50c0c43
14126678c266c
158ca9b833d5
hex4f30d152e8

340121441000 has 96 divisors (see below), whose sum is σ = 874815144840. Its totient is φ = 123680480000.

The previous prime is 340121440973. The next prime is 340121441003. The reversal of 340121441000 is 144121043.

It can be written as a sum of positive squares in 4 ways, for example, as 189498278596 + 150623162404 = 435314^2 + 388102^2 .

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

It is not an unprimeable number, because it can be changed into a prime (340121441003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284461 + ... + 1526460.

Almost surely, 2340121441000 is an apocalyptic number.

It is an amenable number.

340121441000 is an abundant number, since it is smaller than the sum of its proper divisors (534693703840).

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

340121441000 is a wasteful number, since it uses less digits than its factorization.

340121441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810964 (or 2810939 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 340121441000 its reverse (144121043), we get a palindrome (340265562043).

The spelling of 340121441000 in words is "three hundred forty billion, one hundred twenty-one million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 2810921 5621842 11243684 14054605 22487368 28109210 30920131 56218420 61840262 70273025 112436840 123680524 140546050 154600655 247361048 281092100 309201310 340121441 351365125 562184200 618402620 680242882 702730250 773003275 1236805240 1360485764 1405460500 1546006550 1700607205 2720971528 2810921000 3092013100 3401214410 3865016375 6184026200 6802428820 7730032750 8503036025 13604857640 15460065500 17006072050 30920131000 34012144100 42515180125 68024288200 85030360250 170060720500 340121441000