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1040014203320 = 2352313116751673
BaseRepresentation
bin11110010001001011010…
…11010101100110111000
310200102110101012120021102
433020211223111212320
5114014422114001240
62113435333430532
7135065343603641
oct17104553254670
93612411176242
101040014203320
113710819a5114
1214968a79b448
13770c4281c21
14384a08706c8
151c0be606815
hexf225ad59b8

1040014203320 has 128 divisors (see below), whose sum is σ = 2475192867840. Its totient is φ = 392508779520.

The previous prime is 1040014203313. The next prime is 1040014203409. The reversal of 1040014203320 is 233024100401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1040014203292 and 1040014203301.

It is a congruent number.

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, 20101004 + ... + 20152676.

It is an arithmetic number, because the mean of its divisors is an integer number (19337444280).

Almost surely, 21040014203320 is an apocalyptic number.

1040014203320 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 1040014203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237596433920).

1040014203320 is an abundant number, since it is smaller than the sum of its proper divisors (1435178664520).

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

1040014203320 is a wasteful number, since it uses less digits than its factorization.

1040014203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52005 (or 52001 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1040014203320 its reverse (233024100401), we get a palindrome (1273038303721).

The spelling of 1040014203320 in words is "one trillion, forty billion, fourteen million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 131 167 184 230 262 334 460 524 655 668 835 920 1048 1310 1336 1670 2620 3013 3340 3841 5240 6026 6680 7682 12052 15065 15364 19205 21877 24104 30130 30728 38410 43754 51673 60260 76820 87508 103346 109385 120520 153640 175016 206692 218770 258365 413384 437540 503171 516730 875080 1006342 1033460 1188479 2012684 2066920 2376958 2515855 4025368 4753916 5031710 5942395 6769163 8629391 9507832 10063420 11884790 13538326 17258782 20126840 23769580 27076652 33845815 34517564 43146955 47539160 54153304 67691630 69035128 86293910 135383260 155690749 172587820 198475993 270766520 311381498 345175640 396951986 622762996 778453745 793903972 992379965 1130450221 1245525992 1556907490 1587807944 1984759930 2260900442 3113814980 3969519860 4521800884 5652251105 6227629960 7939039720 9043601768 11304502210 22609004420 26000355083 45218008840 52000710166 104001420332 130001775415 208002840664 260003550830 520007101660 1040014203320