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351441242352 = 243217973914741
BaseRepresentation
bin1010001110100111000…
…01111100100011110000
31020121010112200220012100
411013103201330203300
521224222424223402
6425241101300400
734251020162004
oct5072341744360
91217115626170
10351441242352
11126055468032
1258140b64700
13271aa35a255
141301d03c704
15921d84371c
hex51d387c8f0

351441242352 has 120 divisors (see below), whose sum is σ = 1041580678320. Its totient is φ = 110237276160.

The previous prime is 351441242323. The next prime is 351441242381. The reversal of 351441242352 is 253242144153.

It is a happy number.

351441242352 is a `hidden beast` number, since 3 + 5 + 1 + 4 + 412 + 4 + 235 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (351441242323) and next prime (351441242381).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23833702 + ... + 23848442.

It is an arithmetic number, because the mean of its divisors is an integer number (8679838986).

Almost surely, 2351441242352 is an apocalyptic number.

It is an amenable number.

351441242352 is an abundant number, since it is smaller than the sum of its proper divisors (690139435968).

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

351441242352 is a wasteful number, since it uses less digits than its factorization.

351441242352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24511 (or 24502 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 351441242352 in words is "three hundred fifty-one billion, four hundred forty-one million, two hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 9739 14741 19478 29217 29482 38956 44223 58434 58964 77912 87651 88446 116868 117928 132669 155824 165563 175302 176892 233736 235856 250597 265338 331126 350604 353784 467472 496689 501194 530676 662252 701208 707568 751791 993378 1002388 1061352 1324504 1402416 1490067 1503582 1986756 2004776 2122704 2255373 2649008 2980134 3007164 3973512 4009552 4510746 5960268 6014328 7947024 9021492 11920536 12028656 18042984 23841072 36085968 143562599 287125198 430687797 574250396 861375594 1148500792 1292063391 1722751188 2297001584 2440564183 2584126782 3445502376 4881128366 5168253564 6891004752 7321692549 9762256732 10336507128 14643385098 19524513464 20673014256 21965077647 29286770196 39049026928 43930155294 58573540392 87860310588 117147080784 175720621176 351441242352