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120472504105140 = 2232511431414993001
BaseRepresentation
bin11011011001000110110000…
…110011111111100010110100
3120210120001120221121120021200
4123121012300303333202310
5111242310142022331030
61104120145423412500
734242564646621665
oct3331066063774264
9523501527546250
10120472504105140
1135428113945960
1211618465a54130
13522b67bc1b475
1421a6c8664736c
15dddb763ebd60
hex6d91b0cff8b4

120472504105140 has 144 divisors (see below), whose sum is σ = 407925502560576. Its totient is φ = 28526258880000.

The previous prime is 120472504105111. The next prime is 120472504105223. The reversal of 120472504105140 is 41501405274021.

120472504105140 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 7 + 2 + 504 + 1 + 0 + 5 + 140 = 666.

120472504105140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 120472504105095 and 120472504105104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707411361 + ... + 707581640.

It is an arithmetic number, because the mean of its divisors is an integer number (2832815990004).

Almost surely, 2120472504105140 is an apocalyptic number.

120472504105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120472504105140 is an abundant number, since it is smaller than the sum of its proper divisors (287452998455436).

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

120472504105140 is a wasteful number, since it uses less digits than its factorization.

120472504105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414993070 (or 1414993065 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 120472504105140 its reverse (41501405274021), we get a palindrome (161973909379161).

The spelling of 120472504105140 in words is "one hundred twenty trillion, four hundred seventy-two billion, five hundred four million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 1414993001 2829986002 4244979003 5659972004 7074965005 8489958006 12734937009 14149930010 15564923011 16979916012 21224895015 25469874018 28299860020 31129846022 42449790030 46694769033 50939748036 60844699043 62259692044 63674685045 77824615055 84899580060 93389538066 121689398086 127349370090 140084307099 155649230110 182534097129 186779076132 233473845165 243378796172 254698740180 280168614198 304223495215 311298460220 365068194258 466947690330 547602291387 560337228396 608446990430 669291689473 700421535495 730136388516 912670485645 933895380660 1095204582774 1216893980860 1338583378946 1400843070990 1825340971290 2007875068419 2190409165548 2677166757892 2738011456935 2801686141980 3346458447365 3650681942580 4015750136838 5476022913870 6023625205257 6692916894730 8031500273676 10039375342095 10952045827740 12047250410514 13385833789460 20078750684190 24094500821028 30118126026285 40157501368380 60236252052570 120472504105140