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355142124315 = 325111742203461
BaseRepresentation
bin1010010101100000001…
…11101100001100011011
31020221200110120011211200
411022300013230030123
521304312340434230
6431052224125243
734441516151226
oct5126007541433
91227613504750
10355142124315
1112768451a470
12589b4466823
1327649ccc434
141329076c5bd
1593886d1160
hex52b01ec31b

355142124315 has 48 divisors (see below), whose sum is σ = 711043927776. Its totient is φ = 162061286400.

The previous prime is 355142124313. The next prime is 355142124319. The reversal of 355142124315 is 513421241553.

355142124315 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 4 + 212 + 431 + 5 = 666.

It is not a de Polignac number, because 355142124315 - 21 = 355142124313 is a prime.

It is a super-2 number, since 2×3551421243152 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 355142124315.

It is not an unprimeable number, because it can be changed into a prime (355142124313) 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, 21093316 + ... + 21110145.

It is an arithmetic number, because the mean of its divisors is an integer number (14813415162).

Almost surely, 2355142124315 is an apocalyptic number.

355142124315 is an abundant number, since it is smaller than the sum of its proper divisors (355901803461).

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

355142124315 is a wasteful number, since it uses less digits than its factorization.

355142124315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42203500 (or 42203497 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 355142124315 its reverse (513421241553), we get a palindrome (868563365868).

The spelling of 355142124315 in words is "three hundred fifty-five billion, one hundred forty-two million, one hundred twenty-four thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 42203461 126610383 211017305 379831149 464238071 633051915 717458837 1392714213 1899155745 2152376511 2321190355 3587294185 4178142639 6457129533 6963571065 7892047207 10761882555 20890713195 23676141621 32285647665 39460236035 71028424863 118380708105 355142124315