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46034214144 = 283193154757
BaseRepresentation
bin101010110111110110…
…100101110100000000
311101211012111101011020
4222313312211310000
51223234224323034
633051532545440
73216525235602
oct526766456400
9141735441136
1046034214144
1118583128486
128b08922280
13445826a489
142329b65172
1512e662c249
hexab7da5d00

46034214144 has 72 divisors (see below), whose sum is σ = 128966507040. Its totient is φ = 14537115648.

The previous prime is 46034214137. The next prime is 46034214169. The reversal of 46034214144 is 44141243064.

46034214144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562787 + ... + 1591970.

Almost surely, 246034214144 is an apocalyptic number.

It is an amenable number.

46034214144 is an abundant number, since it is smaller than the sum of its proper divisors (82932292896).

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

46034214144 is a wasteful number, since it uses less digits than its factorization.

46034214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154795 (or 3154781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 46034214144 in words is "forty-six billion, thirty-four million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 3154757 6309514 9464271 12619028 18928542 25238056 37857084 50476112 59940383 75714168 100952224 119880766 151428336 179821149 201904448 239761532 302856672 359642298 403808896 479523064 605713344 719284596 807617792 959046128 1211426688 1438569192 1918092256 2422853376 2877138384 3836184512 5754276768 7672369024 11508553536 15344738048 23017107072 46034214144