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423404307198 = 232313750340771
BaseRepresentation
bin1100010100101001101…
…11010000001011111110
31111110212202220100210100
412022110313100023332
523414113000312243
6522301555421530
742406232141535
oct6122467201376
91443782810710
10423404307198
11153623769844
126a0852b48a6
1330c083b9422
14166c865731c
15b03146d0d3
hex6294dd02fe

423404307198 has 96 divisors (see below), whose sum is σ = 974519949312. Its totient is φ = 132623179200.

The previous prime is 423404307191. The next prime is 423404307251. The reversal of 423404307198 is 891703404324.

423404307198 is a `hidden beast` number, since 4 + 23 + 4 + 0 + 430 + 7 + 198 = 666.

423404307198 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4234043071982 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423404307191) 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, 10364553 + ... + 10405323.

It is an arithmetic number, because the mean of its divisors is an integer number (10151249472).

Almost surely, 2423404307198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423404307198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487259974656).

423404307198 is an abundant number, since it is smaller than the sum of its proper divisors (551115642114).

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

423404307198 is a wasteful number, since it uses less digits than its factorization.

423404307198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41350 (or 41347 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 423404307198 in words is "four hundred twenty-three billion, four hundred four million, three hundred seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 503 558 666 1006 1147 1509 2294 3018 3441 4527 6882 9054 10323 15593 18611 20646 31186 37222 40771 46779 55833 81542 93558 111666 122313 140337 167499 244626 280674 334998 366939 576941 733878 1153882 1263901 1508527 1730823 2527802 3017054 3461646 3791703 4525581 5192469 7583406 9051162 10384938 11375109 13576743 20507813 22750218 27153486 41015626 46764337 61523439 93528674 123046878 140293011 184570317 280586022 369140634 420879033 635742203 758789081 841758066 1271484406 1517578162 1907226609 2276367243 3814453218 4552734486 5721679827 6829101729 11443359654 13658203458 23522461511 47044923022 70567384533 141134769066 211702153599 423404307198