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1414013255214 = 2372925741910781
BaseRepresentation
bin10100100100111001110…
…000011111111000101110
312000011211000101220210020
4110210321300133320232
5141131344343131324
63001331055223010
7204105365233350
oct24447160377056
95004730356706
101414013255214
114a575268a34a
121aa066217a66
13a3457ba7171
144c61d7730d0
1526bad510679
hex14939c1fe2e

1414013255214 has 128 divisors (see below), whose sum is σ = 3364812057600. Its totient is φ = 387591536640.

The previous prime is 1414013255201. The next prime is 1414013255233. The reversal of 1414013255214 is 4125523104141.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131152504 + ... + 131163284.

It is an arithmetic number, because the mean of its divisors is an integer number (26287594200).

Almost surely, 21414013255214 is an apocalyptic number.

1414013255214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414013255214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682406028800).

1414013255214 is an abundant number, since it is smaller than the sum of its proper divisors (1950798802386).

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

1414013255214 is a wasteful number, since it uses less digits than its factorization.

1414013255214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 1414013255214 its reverse (4125523104141), we get a palindrome (5539536359355).

The spelling of 1414013255214 in words is "one trillion, four hundred fourteen billion, thirteen million, two hundred fifty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 257 406 419 514 609 771 838 1218 1257 1542 1799 2514 2933 3598 5397 5866 7453 8799 10781 10794 12151 14906 17598 21562 22359 24302 32343 36453 44718 52171 64686 72906 75467 85057 104342 107683 150934 156513 170114 215366 226401 255171 312649 313026 323049 452802 510342 625298 646098 753781 937947 1507562 1875894 2188543 2261343 2770717 3122807 4377086 4517239 4522686 5541434 6245614 6565629 8312151 9034478 9368421 13131258 13551717 16624302 18736842 19395019 21859649 27103434 31620673 38790038 43719298 58185057 63241346 65578947 80350793 94862019 116370114 130999931 131157894 160701586 189724038 241052379 261999862 392999793 482104758 562455551 785999586 916999517 1124911102 1160930423 1687366653 1833999034 2321860846 2750998551 3374733306 3482791269 5501997102 6965582538 8126512961 16253025922 24379538883 33666982267 48759077766 67333964534 101000946801 202001893602 235668875869 471337751738 707006627607 1414013255214