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14111795955150 = 234528191425393
BaseRepresentation
bin1100110101011010100010…
…0101011100010111001110
31211222002000022201220110000
43031112220211130113032
53322201424231031100
650002511454225130
72654354313320625
oct315265045342716
954862008656400
1014111795955150
114550862a17453
1216bab63ab51a6
137b4976555aba
1436b02bd946bc
15197130a00900
hexcd5a895c5ce

14111795955150 has 120 divisors (see below), whose sum is σ = 39214765522944. Its totient is φ = 3762677318400.

The previous prime is 14111795955121. The next prime is 14111795955161. The reversal of 14111795955150 is 5155959711141.

14111795955150 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 1 + 79 + 59 + 5 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 32960854 + ... + 33386246.

Almost surely, 214111795955150 is an apocalyptic number.

14111795955150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14111795955150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607382761472).

14111795955150 is an abundant number, since it is smaller than the sum of its proper divisors (25102969567794).

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

14111795955150 is a wasteful number, since it uses less digits than its factorization.

14111795955150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433608 (or 433594 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 54.

The spelling of 14111795955150 in words is "fourteen trillion, one hundred eleven billion, seven hundred ninety-five million, nine hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 8191 16382 24573 40955 49146 73719 81910 122865 147438 204775 221157 245730 368595 409550 425393 442314 614325 663471 737190 850786 1105785 1228650 1276179 1326942 1842975 2126965 2211570 2552358 3317355 3685950 3828537 4253930 5528925 6380895 6634710 7657074 10634825 11057850 11485611 12761790 16586775 19142685 21269650 22971222 31904475 33173550 34456833 38285370 57428055 63808950 68913666 95713425 114856110 172284165 191426850 287140275 344568330 574280550 861420825 1722841650 3484394063 6968788126 10453182189 17421970315 20906364378 31359546567 34843940630 52265910945 62719093134 87109851575 94078639701 104531821890 156797732835 174219703150 188157279402 261329554725 282235919103 313595465670 470393198505 522659109450 564471838206 783988664175 940786397010 1411179595515 1567977328350 2351965992525 2822359191030 4703931985050 7055897977575 14111795955150