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2044010414000 = 24532349190499
BaseRepresentation
bin11101101111101000100…
…000111011111110110000
321020101221121012112020102
4131233220200323332300
5231442113131222000
64203001100531532
7300450324564662
oct35575040737660
97211847175212
102044010414000
11718950656265
12290186b50ba8
1311a998443469
1470d05922532
1538281ae53d5
hex1dbe883bfb0

2044010414000 has 160 divisors (see below), whose sum is σ = 5167865664000. Its totient is φ = 780454752000.

The previous prime is 2044010413993. The next prime is 2044010414021. The reversal of 2044010414000 is 4140104402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22540751 + ... + 22631249.

It is an arithmetic number, because the mean of its divisors is an integer number (32299160400).

Almost surely, 22044010414000 is an apocalyptic number.

2044010414000 is a gapful number since it is divisible by the number (20) 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 2044010414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583932832000).

2044010414000 is an abundant number, since it is smaller than the sum of its proper divisors (3123855250000).

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

2044010414000 is a wasteful number, since it uses less digits than its factorization.

2044010414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91036 (or 91020 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2044010414000 its reverse (4140104402), we get a palindrome (2048150518402).

The spelling of 2044010414000 in words is "two trillion, forty-four billion, ten million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 491 500 575 920 982 1000 1150 1840 1964 2000 2300 2455 2875 3928 4600 4910 5750 7856 9200 9820 11293 11500 12275 19640 22586 23000 24550 39280 45172 46000 49100 56465 61375 90344 90499 98200 112930 122750 180688 180998 196400 225860 245500 282325 361996 451720 452495 491000 564650 723992 903440 904990 982000 1129300 1411625 1447984 1809980 2081477 2258600 2262475 2823250 3619960 4162954 4517200 4524950 5646500 7239920 8325908 9049900 10407385 11293000 11312375 16651816 18099800 20814770 22586000 22624750 33303632 36199600 41629540 44435009 45249500 52036925 83259080 88870018 90499000 104073850 166518160 177740036 180998000 208147700 222175045 260184625 355480072 416295400 444350090 520369250 710960144 832590800 888700180 1022005207 1040738500 1110875225 1777400360 2044010414 2081477000 2221750450 3554800720 4088020828 4162954000 4443500900 5110026035 5554376125 8176041656 8887001800 10220052070 11108752250 16352083312 17774003600 20440104140 22217504500 25550130175 40880208280 44435009000 51100260350 81760416560 88870018000 102200520700 127750650875 204401041400 255501301750 408802082800 511002603500 1022005207000 2044010414000