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120146425452 = 223229615473449
BaseRepresentation
bin110111111100101001…
…0001111011001101100
3102111010012200210110100
41233321102033121230
53432024441103302
6131110002511100
711452224523524
oct1577122173154
9374105623410
10120146425452
1146a54585799
121b350965490
13b439634251
145b5a980684
1531d2c7ad1c
hex1bf948f66c

120146425452 has 144 divisors (see below), whose sum is σ = 320002956000. Its totient is φ = 37953377280.

The previous prime is 120146425417. The next prime is 120146425453. The reversal of 120146425452 is 254524641021.

120146425452 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 642 + 5 + 4 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120146425453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34833424 + ... + 34836872.

It is an arithmetic number, because the mean of its divisors is an integer number (2222242750).

Almost surely, 2120146425452 is an apocalyptic number.

120146425452 is a gapful number since it is divisible by the number (12) 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 120146425452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160001478000).

120146425452 is an abundant number, since it is smaller than the sum of its proper divisors (199856530548).

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

120146425452 is a wasteful number, since it uses less digits than its factorization.

120146425452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 120146425452 in words is "one hundred twenty billion, one hundred forty-six million, four hundred twenty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 547 549 732 1044 1094 1098 1641 1769 2188 2196 3282 3449 3538 4923 5307 6564 6898 7076 9846 10347 10614 13796 15863 15921 19692 20694 21228 31041 31726 31842 33367 41388 47589 62082 63452 63684 66734 95178 100021 100101 124164 133468 142767 190356 200042 200202 210389 285534 300063 300303 400084 400404 420778 571068 600126 600606 631167 841556 900189 967643 1200252 1201212 1262334 1800378 1886603 1893501 1935286 2524668 2902929 3600756 3773206 3787002 3870572 5659809 5805858 6101281 7546412 7574004 8708787 11319618 11611716 12202562 16979427 17417574 18303843 22639236 24405124 33958854 34835148 36607686 54711487 54911529 67917708 73215372 109422974 109823058 115082783 164134461 218845948 219646116 230165566 328268922 345248349 460331132 492403383 656537844 690496698 984806766 1035745047 1380993396 1969613532 2071490094 3337400707 4142980188 6674801414 10012202121 13349602828 20024404242 30036606363 40048808484 60073212726 120146425452