Search a number
-
+
244408260480 = 27351131126513
BaseRepresentation
bin1110001110011111011…
…1100001011110000000
3212100212020021001112120
43203213313201132000
513001022003313410
6304140221124240
723441443636116
oct3434767413600
9770766231476
10244408260480
119472010061a
123b44b9b9680
131a080767597
14bb87d17ab6
156556e77570
hex38e7de1780

244408260480 has 128 divisors (see below), whose sum is σ = 785946287520. Its totient is φ = 64598704128.

The previous prime is 244408260469. The next prime is 244408260491. The reversal of 244408260480 is 84062804442.

It is a happy number.

244408260480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244408260469) and next prime (244408260491).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346297 + ... + 780216.

Almost surely, 2244408260480 is an apocalyptic number.

244408260480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244408260480 is an abundant number, since it is smaller than the sum of its proper divisors (541538027040).

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

244408260480 is a wasteful number, since it uses less digits than its factorization.

244408260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126648 (or 1126636 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 244408260480 in words is "two hundred forty-four billion, four hundred eight million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 904 960 1130 1356 1695 1808 1920 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 36160 43392 54240 72320 108480 216960 1126513 2253026 3379539 4506052 5632565 6759078 9012104 11265130 13518156 16897695 18024208 22530260 27036312 33795390 36048416 45060520 54072624 67590780 72096832 90121040 108145248 127295969 135181560 144193664 180242080 216290496 254591938 270363120 360484160 381887907 432580992 509183876 540726240 636479845 720968320 763775814 1018367752 1081452480 1272959690 1527551628 1909439535 2036735504 2162904960 2545919380 3055103256 3818879070 4073471008 5091838760 6110206512 7637758140 8146942016 10183677520 12220413024 15275516280 16293884032 20367355040 24440826048 30551032560 40734710080 48881652096 61102065120 81469420160 122204130240 244408260480