Search a number
-
+
247444234240 = 21357863017
BaseRepresentation
bin1110011001110011010…
…0110110000000000000
3212122200210222111121011
43212130310312000000
513023231210443430
6305401352410304
723606620200430
oct3463464660000
9778623874534
10247444234240
1195a38901645
123bb586a6994
131a445735b68
14bd952062c0
15668377522a
hex399cd36000

247444234240 has 112 divisors (see below), whose sum is σ = 678663546912. Its totient is φ = 84837924864.

The previous prime is 247444234217. The next prime is 247444234243. The reversal of 247444234240 is 42432444742.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2474442342402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 247444234193 and 247444234202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247444234243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144789 + ... + 718228.

Almost surely, 2247444234240 is an apocalyptic number.

247444234240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247444234240 is an abundant number, since it is smaller than the sum of its proper divisors (431219312672).

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

247444234240 is an frugal number, since it uses more digits than its factorization.

247444234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863055 (or 863031 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 40.

Adding to 247444234240 its reverse (42432444742), we get a palindrome (289876678982).

The spelling of 247444234240 in words is "two hundred forty-seven billion, four hundred forty-four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 17920 20480 28672 35840 40960 57344 71680 143360 286720 863017 1726034 3452068 4315085 6041119 6904136 8630170 12082238 13808272 17260340 24164476 27616544 30205595 34520680 48328952 55233088 60411190 69041360 96657904 110466176 120822380 138082720 193315808 220932352 241644760 276165440 386631616 441864704 483289520 552330880 773263232 883729408 966579040 1104661760 1546526464 1767458816 1933158080 2209323520 3093052928 3534917632 3866316160 4418647040 6186105856 7069835264 7732632320 8837294080 12372211712 15465264640 17674588160 24744423424 30930529280 35349176320 49488846848 61861058560 123722117120 247444234240