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40341134342112 = 25314871369120641
BaseRepresentation
bin10010010110000101001101…
…11110110111011111100000
312021211120112000101010101220
421023002212332313133200
520241422120342421422
6221444243345055040
711332356626104632
oct1113024676673740
9167746460333356
1040341134342112
111194364071042a
124636470327480
1319681ca491a76
149d6742706a52
1549e57377de5c
hex24b0a6fb77e0

40341134342112 has 96 divisors (see below), whose sum is σ = 105979565873664. Its totient is φ = 13436369203200.

The previous prime is 40341134342059. The next prime is 40341134342137. The reversal of 40341134342112 is 21124343114304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1954407312 + ... + 1954427952.

It is an arithmetic number, because the mean of its divisors is an integer number (1103953811184).

Almost surely, 240341134342112 is an apocalyptic number.

It is an amenable number.

40341134342112 is an abundant number, since it is smaller than the sum of its proper divisors (65638431531552).

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

40341134342112 is a wasteful number, since it uses less digits than its factorization.

40341134342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35832 (or 35824 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 40341134342112 its reverse (21124343114304), we get a palindrome (61465477456416).

The spelling of 40341134342112 in words is "forty trillion, three hundred forty-one billion, one hundred thirty-four million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1487 2974 4461 5948 8922 11896 13691 17844 20641 23792 27382 35688 41073 41282 47584 54764 61923 71376 82146 82564 109528 123846 142752 164292 165128 219056 247692 328584 330256 438112 495384 657168 660512 990768 1314336 1981536 20358517 30693167 40717034 61075551 61386334 81434068 92079501 122151102 122772668 162868136 184159002 244302204 245545336 282595931 325736272 368318004 488604408 491090672 565191862 651472544 736636008 847787793 977208816 982181344 1130383724 1473272016 1695575586 1954417632 2260767448 2946544032 3391151172 4521534896 6782302344 9043069792 13564604688 27129209376 420220149397 840440298794 1260660448191 1680880597588 2521320896382 3361761195176 5042641792764 6723522390352 10085283585528 13447044780704 20170567171056 40341134342112