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2141463552 = 21031921931
BaseRepresentation
bin111111110100100…
…0010010000000000
312112020112121201220
41333221002100000
513341203313202
6552254555040
7104032065654
oct17751022000
95466477656
102141463552
119a9889298
124b9208a80
132818778c7
141645a0a64
15c8007abc
hex7fa42400

2141463552 has 132 divisors (see below), whose sum is σ = 6027121296. Its totient is φ = 675901440.

The previous prime is 2141463521. The next prime is 2141463593. The reversal of 2141463552 is 2553641412.

It is a super-2 number, since 2×21414635522 = 9171732289088913408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108027 + ... + 1109957.

Almost surely, 22141463552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013560648).

2141463552 is an abundant number, since it is smaller than the sum of its proper divisors (3885657744).

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

2141463552 is a wasteful number, since it uses less digits than its factorization.

2141463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1955 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 2141463552 is about 46275.9500388701. The cubic root of 2141463552 is about 1288.9524480393.

The spelling of 2141463552 in words is "two billion, one hundred forty-one million, four hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1024 1083 1216 1444 1536 1824 1931 2166 2432 2888 3072 3648 3862 4332 4864 5776 5793 7296 7724 8664 9728 11552 11586 14592 15448 17328 19456 23104 23172 29184 30896 34656 36689 46208 46344 58368 61792 69312 73378 92416 92688 110067 123584 138624 146756 184832 185376 220134 247168 277248 293512 369664 370752 440268 494336 554496 587024 697091 741504 880536 988672 1108992 1174048 1394182 1483008 1761072 1977344 2091273 2348096 2788364 2966016 3522144 4182546 4696192 5576728 5932032 7044288 8365092 9392384 11153456 14088576 16730184 18784768 22306912 28177152 33460368 37569536 44613824 56354304 66920736 89227648 112708608 133841472 178455296 267682944 356910592 535365888 713821184 1070731776 2141463552