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14532135240 = 2335718195581
BaseRepresentation
bin11011000100010111…
…01100100101001000
31101111202202221220010
431202023230211020
5214230211311430
610402002031520
71023056053140
oct154213544510
941452687803
1014532135240
116188014327
1229969485a0
1314a7935abc
149bc035920
155a0be7cb0
hex3622ec948

14532135240 has 128 divisors (see below), whose sum is σ = 50100261120. Its totient is φ = 3303244800.

The previous prime is 14532135239. The next prime is 14532135257. The reversal of 14532135240 is 4253123541.

It is a super-2 number, since 2×145321352402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14532135198 and 14532135207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104250 + ... + 199830.

It is an arithmetic number, because the mean of its divisors is an integer number (391408290).

Almost surely, 214532135240 is an apocalyptic number.

14532135240 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 14532135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050130560).

14532135240 is an abundant number, since it is smaller than the sum of its proper divisors (35568125880).

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

14532135240 is a wasteful number, since it uses less digits than its factorization.

14532135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95783 (or 95779 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 14532135240 its reverse (4253123541), we get a palindrome (18785258781).

The spelling of 14532135240 in words is "fourteen billion, five hundred thirty-two million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 181 210 280 362 420 543 724 840 905 1086 1267 1448 1810 2172 2534 2715 3620 3801 4344 5068 5430 6335 7240 7602 10136 10860 12670 15204 19005 21720 25340 30408 38010 50680 76020 95581 152040 191162 286743 382324 477905 573486 669067 764648 955810 1146972 1338134 1433715 1911620 2007201 2293944 2676268 2867430 3345335 3823240 4014402 5352536 5734860 6690670 8028804 10036005 11469720 13381340 16057608 17300161 20072010 26762680 34600322 40144020 51900483 69200644 80288040 86500805 103800966 121101127 138401288 173001610 207601932 242202254 259502415 346003220 363303381 415203864 484404508 519004830 605505635 692006440 726606762 968809016 1038009660 1211011270 1453213524 1816516905 2076019320 2422022540 2906427048 3633033810 4844045080 7266067620 14532135240