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345435012141132 = 2232232511801285557
BaseRepresentation
bin100111010001010111101101…
…1001100010001000001001100
31200022002021010221002011000110
41032202233123030101001030
5330234101401102004012
63222402353121000020
7132521566423511214
oct11642573314210114
91608067127064013
10345435012141132
11a0080190977281
12328ab752783010
1311a994c6c86b34
146143202807244
1529e085632373c
hex13a2bdb31104c

345435012141132 has 96 divisors (see below), whose sum is σ = 813309244360704. Its totient is φ = 114108177600000.

The previous prime is 345435012141019. The next prime is 345435012141203. The reversal of 345435012141132 is 231141210534543.

It is a super-3 number, since 3×3454350121411323 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209545698 + ... + 1209831254.

It is an arithmetic number, because the mean of its divisors is an integer number (8471971295424).

Almost surely, 2345435012141132 is an apocalyptic number.

It is an amenable number.

345435012141132 is an abundant number, since it is smaller than the sum of its proper divisors (467874232219572).

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

345435012141132 is a wasteful number, since it uses less digits than its factorization.

345435012141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287839 (or 287837 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 345435012141132 its reverse (231141210534543), we get a palindrome (576576222675675).

The spelling of 345435012141132 in words is "three hundred forty-five trillion, four hundred thirty-five billion, twelve million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 223 251 446 502 669 753 892 1004 1338 1506 1801 2676 3012 3602 5403 7204 10806 21612 55973 111946 167919 223892 285557 335838 401623 452051 571114 671676 803246 856671 904102 1142228 1204869 1356153 1606492 1713342 1808204 2409738 2712306 3426684 4819476 5424612 63679211 71674807 100807373 127358422 143349614 191037633 201614746 215024421 254716844 286699228 302422119 382075266 403229492 430048842 514288157 604844238 764150532 860097684 1028576314 1209688476 1542864471 2057152628 3085728942 6171457884 15983481961 31966963922 47950445883 63933927844 95900891766 114686259011 129086327407 191801783532 229372518022 258172654814 344058777033 387258982221 458745036044 516345309628 688117554066 774517964442 1376235108132 1549035928884 28786251011761 57572502023522 86358753035283 115145004047044 172717506070566 345435012141132