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1004222443440 = 243537199756629
BaseRepresentation
bin11101001110100000101…
…00100110111110110000
310120000001222200202222010
432213100110212332300
5112423121421142230
62045200004042520
7132360365633526
oct16472024467660
93500058622863
101004222443440
11357985431177
12142760093440
137390c001b98
1436867142316
151b1c72ca9b0
hexe9d0526fb0

1004222443440 has 160 divisors (see below), whose sum is σ = 3198884633280. Its totient is φ = 260419940352.

The previous prime is 1004222443309. The next prime is 1004222443457. The reversal of 1004222443440 is 443442224001.

1004222443440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1004222443398 and 1004222443407.

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, 17705046 + ... + 17761674.

It is an arithmetic number, because the mean of its divisors is an integer number (19993028958).

Almost surely, 21004222443440 is an apocalyptic number.

1004222443440 is a gapful number since it is divisible by the number (10) 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 1004222443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599442316640).

1004222443440 is an abundant number, since it is smaller than the sum of its proper divisors (2194662189840).

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

1004222443440 is a wasteful number, since it uses less digits than its factorization.

1004222443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58679 (or 58673 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1004222443440 its reverse (443442224001), we get a palindrome (1447664667441).

The spelling of 1004222443440 in words is "one trillion, four billion, two hundred twenty-two million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 1997 2220 2960 3994 4440 5991 7988 8880 9985 11982 15976 19970 23964 29955 31952 39940 47928 56629 59910 73889 79880 95856 113258 119820 147778 159760 169887 221667 226516 239640 283145 295556 339774 369445 443334 453032 479280 566290 591112 679548 738890 849435 886668 906064 1108335 1132580 1182224 1359096 1477780 1698870 1773336 2095273 2216670 2265160 2718192 2955560 3397740 3546672 4190546 4433340 4530320 5911120 6285819 6795480 8381092 8866680 10476365 12571638 13590960 16762184 17733360 20952730 25143276 31429095 33524368 41905460 50286552 62858190 83810920 100573104 113088113 125716380 167621840 226176226 251432760 339264339 452352452 502865520 565440565 678528678 904704904 1130881130 1357057356 1696321695 1809409808 2261762260 2714114712 3392643390 4184260181 4523524520 5428229424 6785286780 8368520362 9047049040 12552780543 13570573560 16737040724 20921300905 25105561086 27141147120 33474081448 41842601810 50211122172 62763902715 66948162896 83685203620 100422244344 125527805430 167370407240 200844488688 251055610860 334740814480 502111221720 1004222443440