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42134212140 = 223517919320327
BaseRepresentation
bin100111001111011001…
…010000111000101100
311000202101221202011120
4213033121100320230
51142242324242030
631204534220540
73021060615426
oct471731207054
9130671852146
1042134212140
1116961734229
1281ba7b4750
133c8628b697
142079c01816
15116905b010
hex9cf650e2c

42134212140 has 96 divisors (see below), whose sum is σ = 119255431680. Its totient is φ = 11114582016.

The previous prime is 42134211967. The next prime is 42134212177. The reversal of 42134212140 is 4121243124.

42134212140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42134212140.

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, 2062657 + ... + 2082983.

It is an arithmetic number, because the mean of its divisors is an integer number (1242244080).

Almost surely, 242134212140 is an apocalyptic number.

It is an amenable number.

42134212140 is an abundant number, since it is smaller than the sum of its proper divisors (77121219540).

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

42134212140 is a wasteful number, since it uses less digits than its factorization.

42134212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711 (or 20709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42134212140 its reverse (4121243124), we get a palindrome (46255455264).

The spelling of 42134212140 in words is "forty-two billion, one hundred thirty-four million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 193 358 386 537 579 716 772 895 965 1074 1158 1790 1930 2148 2316 2685 2895 3580 3860 5370 5790 10740 11580 20327 34547 40654 60981 69094 81308 101635 103641 121962 138188 172735 203270 207282 243924 304905 345470 406540 414564 518205 609810 690940 1036410 1219620 2072820 3638533 3923111 7277066 7846222 10915599 11769333 14554132 15692444 18192665 19615555 21831198 23538666 36385330 39231110 43662396 47077332 54577995 58846665 72770660 78462220 109155990 117693330 218311980 235386660 702236869 1404473738 2106710607 2808947476 3511184345 4213421214 7022368690 8426842428 10533553035 14044737380 21067106070 42134212140