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13154212404340 = 225743269230197
BaseRepresentation
bin1011111101101011010000…
…1010000101110001110100
31201120112022200100100120121
42333122310022011301310
53211004311333414330
643550543423341324
72525234434406020
oct277326412056164
951515280310517
1013154212404340
114211740a77647
12158545b151844
1374558ab67607
1433694b01b380
1517c287e9617a
hexbf6b4285c74

13154212404340 has 144 divisors (see below), whose sum is σ = 32425908907392. Its totient is φ = 4388610304512.

The previous prime is 13154212404337. The next prime is 13154212404371. The reversal of 13154212404340 is 4340421245131.

It is a junction number, because it is equal to n+sod(n) for n = 13154212404296 and 13154212404305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435598122 + ... + 435628318.

It is an arithmetic number, because the mean of its divisors is an integer number (225179922968).

Almost surely, 213154212404340 is an apocalyptic number.

13154212404340 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 13154212404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212954453696).

13154212404340 is an abundant number, since it is smaller than the sum of its proper divisors (19271696503052).

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

13154212404340 is a wasteful number, since it uses less digits than its factorization.

13154212404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30794 (or 30523 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 13154212404340 its reverse (4340421245131), we get a palindrome (17494633649471).

The spelling of 13154212404340 in words is "thirteen trillion, one hundred fifty-four billion, two hundred twelve million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 269 301 430 538 602 860 1076 1204 1345 1505 1883 2690 3010 3766 5380 6020 7532 9415 11567 18830 23134 30197 37660 46268 57835 60394 72361 80969 115670 120788 144722 150985 161938 211379 231340 289444 301970 323876 361805 404845 422758 506527 603940 723610 809690 845516 1013054 1056895 1298471 1447220 1619380 2026108 2113790 2532635 2596942 3111523 4227580 5065270 5193884 6223046 6492355 8122993 9089297 10130540 12446092 12984710 15557615 16245986 18178594 21780661 25969420 31115230 32491972 36357188 40614965 43561322 45446485 56860951 62230460 81229930 87122644 90892970 108903305 113721902 162459860 181785940 217806610 227443804 284304755 349288699 435613220 568609510 698577398 1137219020 1397154796 1746443495 2185085117 2445020893 3492886990 4370170234 4890041786 6985773980 8740340468 9780083572 10925425585 12225104465 15295595819 21850851170 24450208930 30591191638 43701702340 48900417860 61182383276 76477979095 93958660031 152955958190 187917320062 305911916380 375834640124 469793300155 657710620217 939586600310 1315421240434 1879173200620 2630842480868 3288553101085 6577106202170 13154212404340