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34356045456140 = 225103191481718127
BaseRepresentation
bin1111100111111001000111…
…11000101010001100001100
311111122101221212201122120012
413303330203320222030030
514000342140114044030
6201022541023012352
710144066556010212
oct763744370521414
9144571855648505
1034356045456140
11aa46353aaa711
123a2a52213a0b8
1316229b8429185
1486abad000cb2
153e8a2d8ee095
hex1f3f23e2a30c

34356045456140 has 96 divisors (see below), whose sum is σ = 73248805453824. Its totient is φ = 13534188272640.

The previous prime is 34356045456119. The next prime is 34356045456149. The reversal of 34356045456140 is 4165454065343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34356045456149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1895287757 + ... + 1895305883.

It is an arithmetic number, because the mean of its divisors is an integer number (763008390144).

Almost surely, 234356045456140 is an apocalyptic number.

It is an amenable number.

34356045456140 is an abundant number, since it is smaller than the sum of its proper divisors (38892759997684).

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

34356045456140 is a wasteful number, since it uses less digits than its factorization.

34356045456140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23247 (or 23245 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 50.

The spelling of 34356045456140 in words is "thirty-four trillion, three hundred fifty-six billion, forty-five million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 103 191 206 382 412 515 764 955 1030 1910 2060 3820 4817 9634 18127 19268 19673 24085 36254 39346 48170 72508 78692 90635 96340 98365 181270 196730 362540 393460 496151 920047 992302 1840094 1867081 1984604 2480755 3462257 3680188 3734162 4600235 4961510 6924514 7468324 9200470 9335405 9923020 13849028 17311285 18400940 18670810 34622570 37341620 69245140 87317759 94764841 174635518 189529682 349271036 356612471 379059364 436588795 473824205 713224942 873177590 947648410 1426449884 1746355180 1783062355 1895296820 3566124710 7132249420 8993729177 16677691969 17987458354 33355383938 35974916708 44968645885 66710767876 83388459845 89937291770 166776919690 179874583540 333553839380 1717802272807 3435604545614 6871209091228 8589011364035 17178022728070 34356045456140