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1004402203440 = 24355970932359
BaseRepresentation
bin11101001110110110000…
…10010101101100110000
310120000112111221112022220
432213123002111230300
5112424003431002230
62045225505001040
7132365010602256
oct16473302255460
93500474845286
101004402203440
11357a6794a559
121427b0323180
137393a32074c
1436882d765d6
151b1d7e87d10
hexe9db095b30

1004402203440 has 80 divisors (see below), whose sum is σ = 3166420550400. Its totient is φ = 263300912896.

The previous prime is 1004402203439. The next prime is 1004402203451. The reversal of 1004402203440 is 443022044001.

It is a happy number.

1004402203440 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 tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1004402203440.

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, 35452020 + ... + 35480339.

It is an arithmetic number, because the mean of its divisors is an integer number (39580256880).

Almost surely, 21004402203440 is an apocalyptic number.

1004402203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004402203440 is an abundant number, since it is smaller than the sum of its proper divisors (2162018346960).

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

1004402203440 is a wasteful number, since it uses less digits than its factorization.

1004402203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70932434 (or 70932428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1004402203440 its reverse (443022044001), we get a palindrome (1447424247441).

The spelling of 1004402203440 in words is "one trillion, four billion, four hundred two million, two hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 70932359 141864718 212797077 283729436 354661795 425594154 567458872 709323590 851188308 1063985385 1134917744 1418647180 1702376616 2127970770 2837294360 3404753232 4185009181 4255941540 5674588720 8370018362 8511883080 12555027543 16740036724 17023766160 20925045905 25110055086 33480073448 41850091810 50220110172 62775137715 66960146896 83700183620 100440220344 125550275430 167400367240 200880440688 251100550860 334800734480 502201101720 1004402203440