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214035340255452 = 223931417732767
BaseRepresentation
bin110000101010100111111100…
…011011001110000011011100
31001001211120121212111000000000
4300222213330123032003130
5211023223334101133302
62035114251120534300
763040354155132042
oct6052477433160334
91031746555430000
10214035340255452
116221a972758a21
1220009596481390
1392575a4a8a491
143abd519850392
1519b283c82e31c
hexc2a9fc6ce0dc

214035340255452 has 480 divisors, whose sum is σ = 595085751558144. Its totient is φ = 67248213465600.

The previous prime is 214035340255417. The next prime is 214035340255501. The reversal of 214035340255452 is 254552043530412.

214035340255452 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 3 + 5 + 3 + 40 + 2 + 554 + 52 = 666.

It is a super-2 number, since 2×2140353402554522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214035340255398 and 214035340255407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77352850173 + ... + 77352852939.

Almost surely, 2214035340255452 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 214035340255452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297542875779072).

214035340255452 is an abundant number, since it is smaller than the sum of its proper divisors (381050411302692).

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

214035340255452 is an equidigital number, since it uses as much as digits as its factorization.

214035340255452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 214035340255452 its reverse (254552043530412), we get a palindrome (468587383785864).

The spelling of 214035340255452 in words is "two hundred fourteen trillion, thirty-five billion, three hundred forty million, two hundred fifty-five thousand, four hundred fifty-two".