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2114149248 = 2734203911
BaseRepresentation
bin111111000000011…
…0101101110000000
312110100010220120000
41332000311232000
513312210233443
6545441320000
7103250654301
oct17600655600
95410126500
102114149248
11995422692
124b0036000
132790031b3
14160ad07a8
15c590e8d3
hex7e035b80

2114149248 has 80 divisors (see below), whose sum is σ = 6291704760. Its totient is φ = 704712960.

The previous prime is 2114149217. The next prime is 2114149267. The reversal of 2114149248 is 8429414112.

2114149248 is a `hidden beast` number, since 21 + 141 + 492 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 91588 + ... + 112323.

Almost surely, 22114149248 is an apocalyptic number.

It is an amenable number.

2114149248 is an abundant number, since it is smaller than the sum of its proper divisors (4177555512).

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

2114149248 is an equidigital number, since it uses as much as digits as its factorization.

2114149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203937 (or 203916 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2114149248 is about 45979.8787297226. The cubic root of 2114149248 is about 1283.4487982615.

The spelling of 2114149248 in words is "two billion, one hundred fourteen million, one hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 203911 407822 611733 815644 1223466 1631288 1835199 2446932 3262576 3670398 4893864 5505597 6525152 7340796 9787728 11011194 13050304 14681592 16516791 19575456 22022388 26100608 29363184 33033582 39150912 44044776 58726368 66067164 78301824 88089552 117452736 132134328 176179104 234905472 264268656 352358208 528537312 704716416 1057074624 2114149248