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13140314012250 = 233532683972533
BaseRepresentation
bin1011111100110111011110…
…1111111011101001011010
31201112012110002001212212000
42333031313233323221122
53210242330341343000
643540324340501430
72524233142130325
oct277156757735132
951465402055760
1013140314012250
114206859768997
1215828206aa876
13744184613079
14335dcd2337bc
1517bc22c34000
hexbf377bfba5a

13140314012250 has 128 divisors (see below), whose sum is σ = 36444331123200. Its totient is φ = 3503904868800.

The previous prime is 13140314012171. The next prime is 13140314012269. The reversal of 13140314012250 is 5221041304131.

13140314012250 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 1 + 401 + 2 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181126984 + ... + 181199516.

It is an arithmetic number, because the mean of its divisors is an integer number (284721336900).

Almost surely, 213140314012250 is an apocalyptic number.

13140314012250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13140314012250 is an abundant number, since it is smaller than the sum of its proper divisors (23304017110950).

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

13140314012250 is a wasteful number, since it uses less digits than its factorization.

13140314012250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99398 (or 99382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13140314012250 its reverse (5221041304131), we get a palindrome (18361355316381).

The spelling of 13140314012250 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 3375 6750 26839 53678 72533 80517 134195 145066 161034 217599 241551 268390 362665 402585 435198 483102 652797 670975 724653 725330 805170 1087995 1207755 1305594 1341950 1449306 1813325 1958391 2012925 2175990 2415510 3263985 3354875 3623265 3626650 3916782 4025850 5439975 6038775 6527970 6709750 7246530 9066625 9791955 10064625 10879950 12077550 16319925 18116325 18133250 19583910 20129250 27199875 30193875 32639850 36232650 48959775 54399750 60387750 81599625 90581625 97919550 163199250 181163250 244798875 489597750 1946713187 3893426374 5840139561 9733565935 11680279122 17520418683 19467131870 29200697805 35040837366 48667829675 52561256049 58401395610 87602093415 97335659350 105122512098 146003489025 175204186830 243339148375 262806280245 292006978050 438010467075 486678296750 525612560490 730017445125 876020934150 1314031401225 1460034890250 2190052335375 2628062802450 4380104670750 6570157006125 13140314012250