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551115431014000 = 24532112275753131
BaseRepresentation
bin111110101001111001000111…
…1011111101110111001110000
32200021100010020221222102001011
41331103302033133232321300
51034213433400314422000
65232042533412520304
7224040530066645416
oct17523621737567160
92607303227872034
10551115431014000
1114a669818292086
1251989a42920094
131a868c67abac38
149a141b46ab2b6
1543aab9cab12ba
hex1f53c8f7eee70

551115431014000 has 160 divisors (see below), whose sum is σ = 1344811266070272. Its totient is φ = 218434839840000.

The previous prime is 551115431013971. The next prime is 551115431014007. The reversal of 551115431014000 is 410134511155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551115431014007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 92917435 + ... + 98670565.

Almost surely, 2551115431014000 is an apocalyptic number.

551115431014000 is a gapful number since it is divisible by the number (50) 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 551115431014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672405633035136).

551115431014000 is an abundant number, since it is smaller than the sum of its proper divisors (793695835056272).

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

551115431014000 is a wasteful number, since it uses less digits than its factorization.

551115431014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753592 (or 5753576 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

Adding to 551115431014000 its reverse (410134511155), we get a palindrome (551525565525155).

The spelling of 551115431014000 in words is "five hundred fifty-one trillion, one hundred fifteen billion, four hundred thirty-one million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 227 250 400 422 454 500 844 908 1000 1055 1135 1688 1816 2000 2110 2270 3376 3632 4220 4540 5275 5675 8440 9080 10550 11350 16880 18160 21100 22700 26375 28375 42200 45400 47897 52750 56750 84400 90800 95794 105500 113500 191588 211000 227000 239485 383176 422000 454000 478970 766352 957940 1197425 1915880 2394850 3831760 4789700 5753131 5987125 9579400 11506262 11974250 19158800 23012524 23948500 28765655 46025048 47897000 57531310 92050096 95794000 115062620 143828275 230125240 287656550 460250480 575313100 719141375 1150626200 1213910641 1305960737 1438282750 2301252400 2427821282 2611921474 2876565500 4855642564 5223842948 5753131000 6069553205 6529803685 9711285128 10447685896 11506262000 12139106410 13059607370 19422570256 20895371792 24278212820 26119214740 30347766025 32649018425 48556425640 52238429480 60695532050 65298036850 97112851280 104476858960 121391064100 130596073700 151738830125 163245092125 242782128200 261192147400 275557715507 303477660250 326490184250 485564256400 522384294800 551115431014 606955320500 652980368500 1102230862028 1213910641000 1305960737000 1377788577535 2204461724056 2427821282000 2611921474000 2755577155070 4408923448112 5511154310140 6888942887675 11022308620280 13777885775350 22044617240560 27555771550700 34444714438375 55111543101400 68889428876750 110223086202800 137778857753500 275557715507000 551115431014000