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3842834142048 = 253118634216741
BaseRepresentation
bin110111111010111010110…
…000111001001101100000
3111121101000201101212221020
4313322322300321031200
51000430111020021143
612101212412125440
7544431004154526
oct67727260711540
914541021355836
103842834142048
111251811766370
12520925466880
1321b4baa81455
14d3dcbdba316
1569e6324d883
hex37ebac39360

3842834142048 has 96 divisors (see below), whose sum is σ = 11017233626112. Its totient is φ = 1163145561600.

The previous prime is 3842834141983. The next prime is 3842834142097. The reversal of 3842834142048 is 8402414382483.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197043 + ... + 3019698.

It is an arithmetic number, because the mean of its divisors is an integer number (114762850272).

Almost surely, 23842834142048 is an apocalyptic number.

It is an amenable number.

3842834142048 is an abundant number, since it is smaller than the sum of its proper divisors (7174399484064).

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

3842834142048 is a wasteful number, since it uses less digits than its factorization.

3842834142048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217628 (or 4217620 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 51.

The spelling of 3842834142048 in words is "three trillion, eight hundred forty-two billion, eight hundred thirty-four million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 863 1056 1726 2589 3452 5178 6904 9493 10356 13808 18986 20712 27616 28479 37972 41424 56958 75944 82848 113916 151888 227832 303776 455664 911328 4216741 8433482 12650223 16866964 25300446 33733928 46384151 50600892 67467856 92768302 101201784 134935712 139152453 185536604 202403568 278304906 371073208 404807136 556609812 742146416 1113219624 1484292832 2226439248 3639047483 4452878496 7278094966 10917142449 14556189932 21834284898 29112379864 40029522313 43668569796 58224759728 80059044626 87337139592 116449519456 120088566939 160118089252 174674279184 240177133878 320236178504 349348558368 480354267756 640472357008 960708535512 1280944714016 1921417071024 3842834142048