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120254551013214 = 232193247313997407
BaseRepresentation
bin11011010101111011110001…
…110010111011011101011110
3120202210020000102102022112200
4123111323301302323131132
5111230222310024410324
61103432102244312330
734221050610122052
oct3325736162733536
9522706012368480
10120254551013214
113535373a021002
12115a21799a26a6
135213c56313997
14219a4cc069c62
15dd816bc87ec9
hex6d5ef1cbb75e

120254551013214 has 48 divisors (see below), whose sum is σ = 262007458207872. Its totient is φ = 39861028952064.

The previous prime is 120254551013213. The next prime is 120254551013237. The reversal of 120254551013214 is 412310155452021.

120254551013214 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 5 + 4 + 5 + 510 + 132 + 1 + 4 = 666.

It is a super-2 number, since 2×1202545510132142 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120254551013213) 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 23 ways as a sum of consecutive naturals, for example, 1592499 + ... + 15589905.

It is an arithmetic number, because the mean of its divisors is an integer number (5458488712664).

Almost surely, 2120254551013214 is an apocalyptic number.

120254551013214 is an abundant number, since it is smaller than the sum of its proper divisors (141752907194658).

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

120254551013214 is a wasteful number, since it uses less digits than its factorization.

120254551013214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000081 (or 14000078 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 120254551013214 in words is "one hundred twenty trillion, two hundred fifty-four billion, five hundred fifty-one million, thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 2473 3474 4946 7419 14838 22257 44514 477289 954578 1431867 2863734 4295601 8591202 13997407 27994814 41992221 83984442 125976663 251953326 2701499551 5402999102 8104498653 16208997306 24313495959 34615587511 48626991918 69231175022 103846762533 207693525066 311540287599 623080575198 6680808389623 13361616779246 20042425168869 40084850337738 60127275506607 120254551013214