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4011132424416 = 2531319169160443
BaseRepresentation
bin111010010111101010000…
…111111001000011100000
3112012110102201022110022120
4322113222013321003200
51011204244400040131
612310404440304240
7562536413025015
oct72275207710340
915173381273276
104011132424416
111307125757927
12549474172080
1323132c2aa210
14dc1d5a4170c
156e5134a6496
hex3a5ea1f90e0

4011132424416 has 96 divisors (see below), whose sum is σ = 11935960928640. Its totient is φ = 1169236975104.

The previous prime is 4011132424393. The next prime is 4011132424417. The reversal of 4011132424416 is 6144242311104.

4011132424416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011132424417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84556510 + ... + 84603933.

It is an arithmetic number, because the mean of its divisors is an integer number (124332926340).

Almost surely, 24011132424416 is an apocalyptic number.

It is an amenable number.

4011132424416 is an abundant number, since it is smaller than the sum of its proper divisors (7924828504224).

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

4011132424416 is a wasteful number, since it uses less digits than its factorization.

4011132424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169160488 (or 169160480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 4011132424416 in words is "four trillion, eleven billion, one hundred thirty-two million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 169160443 338320886 507481329 676641772 1014962658 1353283544 2029925316 2199085759 2706567088 3214048417 4059850632 4398171518 5413134176 6428096834 6597257277 8119701264 8796343036 9642145251 12856193668 13194514554 16239402528 17592686072 19284290502 25712387336 26389029108 35185372144 38568581004 41782629421 51424774672 52778058216 70370744288 77137162008 83565258842 102849549344 105556116432 125347888263 154274324016 167130517684 211112232864 250695776526 308548648032 334261035368 501391553052 668522070736 1002783106104 1337044141472 2005566212208 4011132424416