Search a number
-
+
14740890884440 = 2357103819162401
BaseRepresentation
bin1101011010000010000110…
…0100001001100101011000
31221012012211000211111200221
43112200201210021211120
53413003321031300230
651203512150005424
73050665006066450
oct326404144114530
957165730744627
1014740890884440
114773638678a56
1217a0a72646874
1382c0a1bc79a6
1438d66a3a6d60
151a869ecb827a
hexd6821909958

14740890884440 has 128 divisors (see below), whose sum is σ = 38278445137920. Its totient is φ = 5004260352000.

The previous prime is 14740890884359. The next prime is 14740890884443. The reversal of 14740890884440 is 4448809804741.

It is a super-2 number, since 2×147408908844402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14740890884443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236197240 + ... + 236259640.

It is an arithmetic number, because the mean of its divisors is an integer number (299050352640).

Almost surely, 214740890884440 is an apocalyptic number.

14740890884440 is a gapful number since it is divisible by the number (10) 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 14740890884440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139222568960).

14740890884440 is an abundant number, since it is smaller than the sum of its proper divisors (23537554253480).

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

14740890884440 is a wasteful number, since it uses less digits than its factorization.

14740890884440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70713 (or 70709 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 61.

The spelling of 14740890884440 in words is "fourteen trillion, seven hundred forty billion, eight hundred ninety million, eight hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3605 4120 5768 7210 8191 14420 16382 28840 32764 40955 57337 62401 65528 81910 114674 124802 163820 229348 249604 286685 312005 327640 436807 458696 499208 573370 624010 843673 873614 1146740 1248020 1687346 1747228 2184035 2293480 2496040 3374692 3494456 4218365 4368070 5905711 6427303 6749384 8436730 8736140 11811422 12854606 16873460 17472280 23622844 25709212 29528555 32136515 33746920 44991121 47245688 51418424 59057110 64273030 89982242 118114220 128546060 179964484 224955605 236228440 257092120 359928968 449911210 511126591 899822420 1022253182 1799644840 2044506364 2555632955 3577886137 4089012728 5111265910 7155772274 10222531820 14311544548 17889430685 20445063640 28623089096 35778861370 52646038873 71557722740 105292077746 143115445480 210584155492 263230194365 368522272111 421168310984 526460388730 737044544222 1052920777460 1474089088444 1842611360555 2105841554920 2948178176888 3685222721110 7370445442220 14740890884440