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13114400233240 = 2357123331979317
BaseRepresentation
bin1011111011010110111100…
…1010101101011100011000
31201102201120002201111220001
42332311233022231130120
53204331242424430430
643520401114342344
72522325030501235
oct276655712553430
951381502644801
1013114400233240
1141a68710491a9
1215797aa12a9b4
137418b499a517
14334a5178478c
1517b207c123ca
hexbed6f2ad718

13114400233240 has 64 divisors (see below), whose sum is σ = 29935838813760. Its totient is φ = 5169656701440.

The previous prime is 13114400233211. The next prime is 13114400233241. The reversal of 13114400233240 is 4233200441131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13114400233199 and 13114400233208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114400233241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5636062 + ... + 7615378.

It is an arithmetic number, because the mean of its divisors is an integer number (467747481465).

Almost surely, 213114400233240 is an apocalyptic number.

13114400233240 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 13114400233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967919406880).

13114400233240 is an abundant number, since it is smaller than the sum of its proper divisors (16821438580520).

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

13114400233240 is a wasteful number, since it uses less digits than its factorization.

13114400233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981732 (or 1981728 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13114400233240 its reverse (4233200441131), we get a palindrome (17347600674371).

The spelling of 13114400233240 in words is "thirteen trillion, one hundred fourteen billion, four hundred million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2333 2840 4666 9332 11665 18664 23330 46660 93320 165643 331286 662572 828215 1325144 1656430 1979317 3312860 3958634 6625720 7917268 9896585 15834536 19793170 39586340 79172680 140531507 281063014 562126028 702657535 1124252056 1405315070 2810630140 4617746561 5621260280 9235493122 18470986244 23088732805 36941972488 46177465610 92354931220 184709862440 327860005831 655720011662 1311440023324 1639300029155 2622880046648 3278600058310 6557200116620 13114400233240