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13140232453344 = 253975531255127
BaseRepresentation
bin1011111100110111001011…
…1000110011110011100000
31201112012020101121021001210
42333031302320303303200
53210242144002001334
643540312304430120
72524231131652263
oct277156270636340
951465211537053
1013140232453344
114206817722537
1215827b9318340
13744170758269
14335dc2482cda
1517bc1a9c35e9
hexbf372e33ce0

13140232453344 has 96 divisors (see below), whose sum is σ = 34855146498816. Its totient is φ = 4334121308160.

The previous prime is 13140232453267. The next prime is 13140232453351. The reversal of 13140232453344 is 44335423204131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51377109 + ... + 51632235.

It is an arithmetic number, because the mean of its divisors is an integer number (363074442696).

Almost surely, 213140232453344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140232453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427573249408).

13140232453344 is an abundant number, since it is smaller than the sum of its proper divisors (21714914045472).

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

13140232453344 is a wasteful number, since it uses less digits than its factorization.

13140232453344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260768 (or 260760 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 13140232453344 its reverse (44335423204131), we get a palindrome (57475655657475).

The spelling of 13140232453344 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-two million, four hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 5531 9312 11062 16593 22124 33186 44248 66372 88496 132744 176992 255127 265488 510254 530976 536507 765381 1020508 1073014 1530762 1609521 2041016 2146028 3061524 3219042 4082032 4292056 6123048 6438084 8164064 8584112 12246096 12876168 17168224 24492192 24747319 25752336 49494638 51504672 74241957 98989276 148483914 197978552 296967828 395957104 593935656 791914208 1187871312 1411107437 2375742624 2822214874 4233322311 5644429748 8466644622 11288859496 16933289244 22577718992 33866578488 45155437984 67733156976 135466313952 136877421389 273754842778 410632264167 547509685556 821264528334 1095019371112 1642529056668 2190038742224 3285058113336 4380077484448 6570116226672 13140232453344