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1004403041430 = 2351961259111149
BaseRepresentation
bin11101001110110110001…
…01100010010010010110
310120000112120112002211120
432213123011202102112
5112424004134311210
62045225534544410
7132365020662345
oct16473305422226
93500476462746
101004403041430
11357a68372108
121427b0668106
137393a554cb9
1436883113b5c
151b1d80a1270
hexe9db162496

1004403041430 has 128 divisors (see below), whose sum is σ = 2580263424000. Its totient is φ = 249465484800.

The previous prime is 1004403041407. The next prime is 1004403041459. The reversal of 1004403041430 is 341403044001.

1004403041430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1004403041430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90083496 + ... + 90094644.

It is an arithmetic number, because the mean of its divisors is an integer number (20158308000).

Almost surely, 21004403041430 is an apocalyptic number.

1004403041430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004403041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290131712000).

1004403041430 is an abundant number, since it is smaller than the sum of its proper divisors (1575860382570).

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

1004403041430 is a wasteful number, since it uses less digits than its factorization.

1004403041430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1004403041430 its reverse (341403044001), we get a palindrome (1345806085431).

The spelling of 1004403041430 in words is "one trillion, four billion, four hundred three million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 285 305 366 570 610 915 1159 1830 2318 2591 3477 5182 5795 6954 7773 11149 11590 12955 15546 17385 22298 25910 33447 34770 38865 49229 55745 66894 77730 98458 111490 147687 158051 167235 211831 246145 295374 316102 334470 423662 474153 492290 635493 680089 738435 790255 948306 1059155 1270986 1360178 1476870 1580510 2040267 2118310 2370765 3002969 3177465 3400445 4080534 4741530 6005938 6354930 6800890 9008907 10201335 12921691 15014845 18017814 20402670 25843382 28887059 30029690 38765073 45044535 57774118 64608455 77530146 86661177 90089070 129216910 144435295 173322354 193825365 288870590 387650730 433305885 548854121 866611770 1097708242 1646562363 1762110599 2744270605 3293124726 3524221198 5286331797 5488541210 8232811815 8810552995 10572663594 16465623630 17621105990 26431658985 33480101381 52863317970 66960202762 100440304143 167400506905 200880608286 334801013810 502201520715 1004403041430