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1314861000432 = 243722324306067
BaseRepresentation
bin10011001000100011110…
…100101010011011110000
311122200212220221111100120
4103020203310222123300
5133020313404003212
62444012214250240
7163665324045300
oct23104364523360
94580786844316
101314861000432
114676a1835831
121929b4356980
1396cb5bc6615
14478d5149600
152430892e88c
hex13223d2a6f0

1314861000432 has 120 divisors (see below), whose sum is σ = 4123086926976. Its totient is φ = 359340879744.

The previous prime is 1314861000331. The next prime is 1314861000451. The reversal of 1314861000432 is 2340001684131.

It is a junction number, because it is equal to n+sod(n) for n = 1314861000393 and 1314861000402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12098938 + ... + 12207129.

Almost surely, 21314861000432 is an apocalyptic number.

1314861000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314861000432 is an abundant number, since it is smaller than the sum of its proper divisors (2808225926544).

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

1314861000432 is a wasteful number, since it uses less digits than its factorization.

1314861000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24306115 (or 24306102 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 1314861000432 its reverse (2340001684131), we get a palindrome (3654862684563).

The spelling of 1314861000432 in words is "one trillion, three hundred fourteen billion, eight hundred sixty-one million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 27048 54096 24306067 48612134 72918201 97224268 145836402 170142469 194448536 291672804 340284938 388897072 510427407 559039541 583345608 680569876 1020854814 1118079082 1166691216 1190997283 1361139752 1677118623 2041709628 2236158164 2381994566 2722279504 3354237246 3572991849 3913276787 4083419256 4472316328 4763989132 6708474492 7145983698 7826553574 8166838512 8944632656 9527978264 11739830361 13416948984 14291967396 15653107148 19055956528 23479660722 26833897968 27392937509 28583934792 31306214296 46959321444 54785875018 57167869584 62612428592 82178812527 93918642888 109571750036 164357625054 187837285776 219143500072 328715250108 438287000144 657430500216 1314861000432