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4012040000 = 2654195279
BaseRepresentation
bin1110111100100010…
…1101111101000000
3101100121100202020002
43233020231331000
531204040240000
61502035535132
7201264530423
oct35710557500
911317322202
104012040000
111779768041
1293b75a4a8
134bc278987
142a0ba99ba
151873528d5
hexef22df40

4012040000 has 140 divisors (see below), whose sum is σ = 10474147200. Its totient is φ = 1520064000.

The previous prime is 4012039979. The next prime is 4012040009. The reversal of 4012040000 is 402104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012040009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 757361 + ... + 762639.

Almost surely, 24012040000 is an apocalyptic number.

4012040000 is a gapful number since it is divisible by the number (40) 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 4012040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237073600).

4012040000 is an abundant number, since it is smaller than the sum of its proper divisors (6462107200).

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

4012040000 is an equidigital number, since it uses as much as digits as its factorization.

4012040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4012040000 is about 63340.6662421544. Note that the first 3 decimals coincide. The cubic root of 4012040000 is about 1588.9921490225.

Adding to 4012040000 its reverse (402104), we get a palindrome (4012442104).

The spelling of 4012040000 in words is "four billion, twelve million, forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 5279 6080 7600 8000 9500 10000 10558 11875 15200 19000 20000 21116 23750 26395 30400 38000 40000 42232 47500 52790 76000 84464 95000 100301 105580 131975 152000 168928 190000 200602 211160 263950 337856 380000 401204 422320 501505 527900 659875 760000 802408 844640 1003010 1055800 1319750 1604816 1689280 2006020 2111600 2507525 2639500 3209632 3299375 4012040 4223200 5015050 5279000 6419264 6598750 8024080 8446400 10030100 10558000 12537625 13197500 16048160 20060200 21116000 25075250 26395000 32096320 40120400 42232000 50150500 52790000 62688125 80240800 100301000 105580000 125376250 160481600 200602000 211160000 250752500 401204000 501505000 802408000 1003010000 2006020000 4012040000