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13154214451144 = 231319311159718517
BaseRepresentation
bin1011111101101011010001…
…0001111001011111001000
31201120112022211012100021011
42333122310101321133020
53211004312344414034
643550543535253304
72525234460662254
oct277326421713710
951515284170234
1013154214451144
114211742145418
12158545b97a234
1374558b403140
1433694b3d1264
1517c28824c864
hexbf6b44797c8

13154214451144 has 128 divisors (see below), whose sum is σ = 28865325081600. Its totient is φ = 5565323013120.

The previous prime is 13154214451099. The next prime is 13154214451181. The reversal of 13154214451144 is 44115441245131.

It is a junction number, because it is equal to n+sod(n) for n = 13154214451097 and 13154214451106.

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, 710376574 + ... + 710395090.

It is an arithmetic number, because the mean of its divisors is an integer number (225510352200).

Almost surely, 213154214451144 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 13154214451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432662540800).

13154214451144 is an abundant number, since it is smaller than the sum of its proper divisors (15711110630456).

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

13154214451144 is a wasteful number, since it uses less digits than its factorization.

13154214451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30183 (or 30179 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

Adding to 13154214451144 its reverse (44115441245131), we get a palindrome (57269655696275).

The spelling of 13154214451144 in words is "thirteen trillion, one hundred fifty-four billion, two hundred fourteen million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 152 247 248 403 494 589 806 988 1178 1612 1976 2356 3224 4712 7657 11597 15314 18517 23194 30628 37034 46388 61256 74068 92776 148136 150761 220343 240721 301522 351823 359507 440686 481442 574027 603044 703646 719014 881372 962884 1148054 1206088 1407292 1438028 1762744 1925768 2296108 2814584 2864459 2876056 4573699 4592216 4673591 5728918 6830633 7462351 9147398 9347182 10906513 11457836 13661266 14924702 18294796 18694364 21813026 22915672 27322532 29849404 36589592 37388728 43626052 54645064 59698808 87252104 88798229 141784669 177596458 214741649 283569338 355192916 429483298 567138676 710385832 858966596 1134277352 1717933192 2791641437 4080091331 5583282874 6656991119 8160182662 11166565748 13313982238 16320365324 22333131496 26627964476 32640730648 53041187303 53255928952 86540884547 106082374606 126482831261 173081769094 212164749212 252965662522 346163538188 424329498424 505931325044 692327076376 1011862650088 1644276806393 3288553612786 6577107225572 13154214451144