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1214353915005 = 3571110310207657
BaseRepresentation
bin10001101010111101001…
…000100011110001111101
311022002110102010112200010
4101222331020203301331
5124343444100240010
62325511054453433
7153506551652520
oct21527510436175
94262412115603
101214353915005
11429006143970
12177424804279
138a689320a3a
1442abca0abb7
15218c4e2c620
hex11abd223c7d

1214353915005 has 64 divisors (see below), whose sum is σ = 2445918179328. Its totient is φ = 499766837760.

The previous prime is 1214353914967. The next prime is 1214353915009. The reversal of 1214353915005 is 5005193534121.

It is not a de Polignac number, because 1214353915005 - 29 = 1214353914493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214353915009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4984864 + ... + 5222793.

It is an arithmetic number, because the mean of its divisors is an integer number (38217471552).

Almost surely, 21214353915005 is an apocalyptic number.

1214353915005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1214353915005 is an abundant number, since it is smaller than the sum of its proper divisors (1231564264323).

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

1214353915005 is a wasteful number, since it uses less digits than its factorization.

1214353915005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207786.

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 1214353915005 in words is "one trillion, two hundred fourteen billion, three hundred fifty-three million, nine hundred fifteen thousand, five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 103 105 165 231 309 385 515 721 1133 1155 1545 2163 3399 3605 5665 7931 10815 16995 23793 39655 118965 10207657 30622971 51038285 71453599 112284227 153114855 214360797 336852681 357267995 561421135 785989589 1051388671 1071803985 1684263405 2357968767 3154166013 3929947945 5256943355 7359720697 11565275381 11789843835 15770830065 22079162091 34695826143 36798603485 57826376905 80956927667 110395810455 173479130715 242870783001 404784638335 1214353915005