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345542030231200 = 255211277011417499
BaseRepresentation
bin100111010010001001100010…
…1111101111000011010100000
31200022110111101012111101221221
41032210103011331320122200
5330242330034214344300
63222523452310024424
7132532405426331545
oct11644230575703240
91608414335441857
10345542030231200
11a0111608892310
123290843a948114
1311aa662076449a
146148475972bcc
1529e351b74c31a
hex13a44c5f786a0

345542030231200 has 144 divisors (see below), whose sum is σ = 920275122060000. Its totient is φ = 125647022720000.

The previous prime is 345542030231179. The next prime is 345542030231213. The reversal of 345542030231200 is 2132030245543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243060051 + ... + 244477549.

It is an arithmetic number, because the mean of its divisors is an integer number (6390799458750).

Almost surely, 2345542030231200 is an apocalyptic number.

It is an amenable number.

345542030231200 is an abundant number, since it is smaller than the sum of its proper divisors (574733091828800).

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

345542030231200 is a wasteful number, since it uses less digits than its factorization.

345542030231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445231 (or 1445218 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 345542030231200 its reverse (2132030245543), we get a palindrome (347674060476743).

The spelling of 345542030231200 in words is "three hundred forty-five trillion, five hundred forty-two billion, thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 27701 55402 110804 138505 221608 277010 304711 443216 554020 609422 692525 886432 1108040 1218844 1385050 1417499 1523555 2216080 2437688 2770100 2834998 3047110 4432160 4875376 5540200 5669996 6094220 7087495 7617775 9750752 11080400 11339992 12188440 14174990 15235550 15592489 22160800 22679984 24376880 28349980 30471100 31184978 35437475 45359968 48753760 56699960 60942200 62369956 70874950 77962445 113399920 121884400 124739912 141749900 155924890 226799840 243768800 249479824 283499800 311849780 389812225 498959648 566999600 623699560 779624450 1133999200 1247399120 1559248900 2494798240 3118497800 6236995600 12473991200 39266139799 78532279598 157064559196 196330698995 314129118392 392661397990 431927537789 628258236784 785322795980 863855075578 981653494975 1256516473568 1570645591960 1727710151156 1963306989950 2159637688945 3141291183920 3455420302312 3926613979900 4319275377890 6282582367840 6910840604624 7853227959800 8638550755780 10798188444725 13821681209248 15706455919600 17277101511560 21596376889450 31412911839200 34554203023120 43192753778900 69108406046240 86385507557800 172771015115600 345542030231200