Search a number
-
+
42200100063045 = 32519411753686723
BaseRepresentation
bin10011001100001011110011…
…11110010100011101000101
312112102021211112100021110200
421212011321332110131011
521012401301104004140
6225430243000041113
711613566551032561
oct1146057176243505
9175367745307420
1042200100063045
111249aa64370991
1248967b4163199
131a715b5ab43b2
14a5c6d24566a1
154d2ac4d37030
hex266179f94745

42200100063045 has 96 divisors (see below), whose sum is σ = 78919750465920. Its totient is φ = 20790206392320.

The previous prime is 42200100062983. The next prime is 42200100063067. The reversal of 42200100063045 is 54036000100224.

42200100063045 is a `hidden beast` number, since 4 + 2 + 20 + 0 + 1 + 0 + 0 + 0 + 630 + 4 + 5 = 666.

It is not a de Polignac number, because 42200100063045 - 241 = 40001076807493 is a prime.

It is a super-2 number, since 2×422001000630452 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61108054 + ... + 61794776.

It is an arithmetic number, because the mean of its divisors is an integer number (822080734020).

Almost surely, 242200100063045 is an apocalyptic number.

42200100063045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42200100063045 is a deficient number, since it is larger than the sum of its proper divisors (36719650402875).

42200100063045 is a wasteful number, since it uses less digits than its factorization.

42200100063045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688547 (or 688544 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42200100063045 its reverse (54036000100224), we get a palindrome (96236100163269).

The spelling of 42200100063045 in words is "forty-two trillion, two hundred billion, one hundred million, sixty-three thousand, forty-five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 369 615 779 855 1753 1845 2337 3895 5259 7011 8765 11685 15777 26295 33307 35055 71873 78885 99921 166535 215619 299763 359365 499605 646857 686723 1078095 1365587 1498815 2060169 3234285 3433615 4096761 6180507 6827935 10300845 12290283 13047737 20483805 28155643 30902535 39143211 61451415 65238685 84466929 117429633 140778215 195716055 253400787 422334645 534957217 587148165 1203825419 1267003935 1604871651 2674786085 3611476257 4814614953 6019127095 8024358255 10834428771 18057381285 22872682961 24073074765 49356842179 54172143855 68618048883 114363414805 148070526537 205854146649 246784210895 343090244415 444211579611 740352632685 937780001401 1029270733245 2221057898055 2813340004203 4688900007005 8440020012609 14066700021015 42200100063045