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214166122041450 = 235219946115563437
BaseRepresentation
bin110000101100100001101111…
…101000001001000001101010
31001002022002012021111002101210
4300230201233220021001222
5211032344204220311300
62035254320324253550
763052664104022625
oct6054415750110152
91032262167432353
10214166122041450
1162270384658487
122002a9b4b412b6
139266a17908677
143ac59a4aa2dbc
1519b5e4411d050
hexc2c86fa0906a

214166122041450 has 96 divisors (see below), whose sum is σ = 534958941686400. Its totient is φ = 56700710035200.

The previous prime is 214166122041359. The next prime is 214166122041457. The reversal of 214166122041450 is 54140221661412.

It is a junction number, because it is equal to n+sod(n) for n = 214166122041399 and 214166122041408.

It is not an unprimeable number, because it can be changed into a prime (214166122041457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5979132 + ... + 21542568.

It is an arithmetic number, because the mean of its divisors is an integer number (5572488975900).

Almost surely, 2214166122041450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214166122041450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267479470843200).

214166122041450 is an abundant number, since it is smaller than the sum of its proper divisors (320792819644950).

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

214166122041450 is a wasteful number, since it uses less digits than its factorization.

214166122041450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15564112 (or 15564107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 214166122041450 in words is "two hundred fourteen trillion, one hundred sixty-six billion, one hundred twenty-two million, forty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 199 398 461 597 922 995 1194 1383 1990 2305 2766 2985 4610 4975 5970 6915 9950 11525 13830 14925 23050 29850 34575 69150 91739 183478 275217 458695 550434 917390 1376085 2293475 2752170 4586950 6880425 13760850 15563437 31126874 46690311 77817185 93380622 155634370 233451555 389085925 466903110 778171850 1167257775 2334515550 3097123963 6194247926 7174744457 9291371889 14349488914 15485619815 18582743778 21524233371 30971239630 35873722285 43048466742 46456859445 71747444570 77428099075 92913718890 107621166855 154856198150 179368611425 215242333710 232284297225 358737222850 464568594450 538105834275 1076211668550 1427774146943 2855548293886 4283322440829 7138870734715 8566644881658 14277741469430 21416612204145 35694353673575 42833224408290 71388707347150 107083061020725 214166122041450