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125344253421252 = 223267431120572941
BaseRepresentation
bin11100011111111111111011…
…101100110010011011000100
3121102210210102112102220122200
4130133333323230302123010
5112412120012333440002
61122330204410554500
735254552306560555
oct3437777354623304
9542723375386580
10125344253421252
1136a3622137a388
1212084680a38a30
1354c2bb26634a8
1422d49a0da632c
15e75759650b1c
hex71fffbb326c4

125344253421252 has 72 divisors (see below), whose sum is σ = 322317517721472. Its totient is φ = 41062320446400.

The previous prime is 125344253421251. The next prime is 125344253421287. The reversal of 125344253421252 is 252124352443521.

125344253421252 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 42 + 534 + 21 + 2 + 52 = 666.

It is a super-2 number, since 2×1253442534212522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125344253421198 and 125344253421207.

It is not an unprimeable number, because it can be changed into a prime (125344253421251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59246899 + ... + 61326042.

It is an arithmetic number, because the mean of its divisors is an integer number (4476632190576).

Almost surely, 2125344253421252 is an apocalyptic number.

125344253421252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125344253421252 is an abundant number, since it is smaller than the sum of its proper divisors (196973264300220).

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

125344253421252 is a wasteful number, since it uses less digits than its factorization.

125344253421252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120573449 (or 120573444 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 125344253421252 in words is "one hundred twenty-five trillion, three hundred forty-four billion, two hundred fifty-three million, four hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 431 603 804 862 1206 1293 1724 2412 2586 3879 5172 7758 15516 28877 57754 86631 115508 173262 259893 346524 519786 1039572 120572941 241145882 361718823 482291764 723437646 1085156469 1446875292 2170312938 4340625876 8078387047 16156774094 24235161141 32313548188 48470322282 51966937571 72705483423 96940644564 103933875142 145410966846 155900812713 207867750284 290821933692 311801625426 467702438139 623603250852 935404876278 1870809752556 3481784817257 6963569634514 10445354451771 13927139269028 20890708903542 31336063355313 41781417807084 62672126710626 125344253421252