Search a number
-
+
14350202405240 = 23513167577286393
BaseRepresentation
bin1101000011010010101010…
…1101111000000101111000
31212210212101021112101220212
43100310222231320011320
53340103203303431430
650304220400010252
73010524251601422
oct320645255700570
955725337471825
1014350202405240
11463298316aa99
1217391b9900988
138012ab73c590
143787a6b4b812
1519d435ad3b95
hexd0d2ab78178

14350202405240 has 128 divisors (see below), whose sum is σ = 35040603749760. Its totient is φ = 5257662234624.

The previous prime is 14350202405239. The next prime is 14350202405249. The reversal of 14350202405240 is 4250420205341.

It is a junction number, because it is equal to n+sod(n) for n = 14350202405197 and 14350202405206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14350202405249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49963484 + ... + 50249876.

It is an arithmetic number, because the mean of its divisors is an integer number (273754716795).

Almost surely, 214350202405240 is an apocalyptic number.

14350202405240 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 14350202405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520301874880).

14350202405240 is an abundant number, since it is smaller than the sum of its proper divisors (20690401344520).

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

14350202405240 is a wasteful number, since it uses less digits than its factorization.

14350202405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287161 (or 287157 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 14350202405240 in words is "fourteen trillion, three hundred fifty billion, two hundred two million, four hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 167 260 334 520 577 668 835 1154 1336 1670 2171 2308 2885 3340 4342 4616 5770 6680 7501 8684 10855 11540 15002 17368 21710 23080 30004 37505 43420 60008 75010 86840 96359 150020 192718 286393 300040 385436 481795 572786 770872 963590 1145572 1252667 1431965 1927180 2291144 2505334 2863930 3723109 3854360 5010668 5727860 6263335 7446218 10021336 11455720 12526670 14892436 18615545 25053340 29784872 37231090 47827631 50106680 74462180 95655262 148924360 165248761 191310524 239138155 330497522 382621048 478276310 621759203 660995044 826243805 956552620 1243518406 1321990088 1652487610 1913105240 2148233893 2487036812 3108796015 3304975220 4296467786 4974073624 6217592030 6609950440 8592935572 10741169465 12435184060 17185871144 21482338930 24870368120 27596543087 42964677860 55193086174 85929355720 110386172348 137982715435 220772344696 275965430870 358755060131 551930861740 717510120262 1103861723480 1435020240524 1793775300655 2870040481048 3587550601310 7175101202620 14350202405240