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1148214912 = 27313673433
BaseRepresentation
bin100010001110000…
…0101111010000000
32222000120100202020
41010130011322000
54322420334122
6305534121440
740311444225
oct10434057200
92860510666
101148214912
1153a156949
12280650280
13153b62710
14ac6cd94c
156ac0bc5c
hex44705e80

1148214912 has 128 divisors (see below), whose sum is σ = 3334551360. Its totient is φ = 347922432.

The previous prime is 1148214887. The next prime is 1148214919. The reversal of 1148214912 is 2194128411.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1148214919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332748 + ... + 336180.

Almost surely, 21148214912 is an apocalyptic number.

1148214912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667275680).

1148214912 is an abundant number, since it is smaller than the sum of its proper divisors (2186336448).

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

1148214912 is a wasteful number, since it uses less digits than its factorization.

1148214912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3518 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 1148214912 is about 33885.3200073424. The cubic root of 1148214912 is about 1047.1471802538.

The spelling of 1148214912 in words is "one billion, one hundred forty-eight million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 128 134 156 192 201 208 268 312 384 402 416 536 624 804 832 871 1072 1248 1608 1664 1742 2144 2496 2613 3216 3433 3484 4288 4992 5226 6432 6866 6968 8576 10299 10452 12864 13732 13936 20598 20904 25728 27464 27872 41196 41808 44629 54928 55744 82392 83616 89258 109856 111488 133887 164784 167232 178516 219712 230011 267774 329568 334464 357032 439424 460022 535548 659136 690033 714064 920044 1071096 1318272 1380066 1428128 1840088 2142192 2760132 2856256 2990143 3680176 4284384 5520264 5712512 5980286 7360352 8568768 8970429 11040528 11960572 14720704 17137536 17940858 22081056 23921144 29441408 35881716 44162112 47842288 71763432 88324224 95684576 143526864 191369152 287053728 382738304 574107456 1148214912