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214251122140 = 2251123111737907
BaseRepresentation
bin1100011110001001011…
…1001010110111011100
3202111000112021200212221
43013202113022313130
512002241241402030
6242231533035124
721323225330026
oct3074227126734
9674015250787
10214251122140
118295519a1a0
1235634325aa4
1317285974423
14a526a87016
15588e65de7a
hex31e25caddc

214251122140 has 96 divisors (see below), whose sum is σ = 512642317824. Its totient is φ = 74453448960.

The previous prime is 214251122069. The next prime is 214251122161. The reversal of 214251122140 is 41221152412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5633067 + ... + 5670973.

It is an arithmetic number, because the mean of its divisors is an integer number (5340024144).

Almost surely, 2214251122140 is an apocalyptic number.

214251122140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214251122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256321158912).

214251122140 is an abundant number, since it is smaller than the sum of its proper divisors (298391195684).

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

214251122140 is a wasteful number, since it uses less digits than its factorization.

214251122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39067 (or 39065 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 214251122140 its reverse (41221152412), we get a palindrome (255472274552).

The spelling of 214251122140 in words is "two hundred fourteen billion, two hundred fifty-one million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1117 1265 2234 2530 4468 5060 5585 11170 12287 22340 24574 25691 37907 49148 51382 61435 75814 102764 122870 128455 151628 189535 245740 256910 282601 379070 416977 513820 565202 758140 833954 871861 1130404 1413005 1667908 1743722 2084885 2826010 3487444 4169770 4359305 5652020 8339540 8718610 9590471 17437220 19180942 38361884 42342119 47952355 84684238 95904710 169368476 191809420 211710595 423421190 465763309 846842380 931526618 973868737 1863053236 1947737474 2328816545 3895474948 4657633090 4869343685 9315266180 9738687370 10712556107 19477374740 21425112214 42850224428 53562780535 107125561070 214251122140