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2114120040 = 233544339769
BaseRepresentation
bin111111000000010…
…1110100101101000
312110100002102111020
41332000232211220
513312203320130
6545440532440
7103250503164
oct17600564550
95410072436
102114120040
1199540274a
124b0021120
13278cc2b06
14160ac3ca4
15c5905e10
hex7e02e968

2114120040 has 64 divisors (see below), whose sum is σ = 6356836800. Its totient is φ = 562478592.

The previous prime is 2114120033. The next prime is 2114120053. The reversal of 2114120040 is 400214112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33276 + ... + 73044.

It is an arithmetic number, because the mean of its divisors is an integer number (99325575).

Almost surely, 22114120040 is an apocalyptic number.

2114120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114120040 is an abundant number, since it is smaller than the sum of its proper divisors (4242716760).

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

2114120040 is a wasteful number, since it uses less digits than its factorization.

2114120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40226 (or 40222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2114120040 is about 45979.5611114330. The cubic root of 2114120040 is about 1283.4428877445.

Adding to 2114120040 its reverse (400214112), we get a palindrome (2514334152).

The spelling of 2114120040 in words is "two billion, one hundred fourteen million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 443 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 13290 17720 26580 39769 53160 79538 119307 159076 198845 238614 318152 397690 477228 596535 795380 954456 1193070 1590760 2386140 4772280 17617667 35235334 52853001 70470668 88088335 105706002 140941336 176176670 211412004 264265005 352353340 422824008 528530010 704706680 1057060020 2114120040