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10032434040420 = 22325112460625989
BaseRepresentation
bin1001000111111101101110…
…1010101100111001100100
31022112002110120121012221200
42101333123222230321210
52303332411103243140
633200500411042500
72053551032214021
oct221773352547144
938462416535850
1010032434040420
11321880551a700
121160429a40430
1357a09289730c
14269802938548
15125e775b9030
hex91fdbaace64

10032434040420 has 108 divisors (see below), whose sum is σ = 33449738141820. Its totient is φ = 2432105216640.

The previous prime is 10032434040413. The next prime is 10032434040437. The reversal of 10032434040420 is 2404043423001.

It is a happy number.

10032434040420 is a `hidden beast` number, since 10 + 0 + 3 + 243 + 4 + 0 + 404 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1937680704036 + 8094753336384 = 1392006^2 + 2845128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230291215 + ... + 230334774.

Almost surely, 210032434040420 is an apocalyptic number.

10032434040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032434040420 is an abundant number, since it is smaller than the sum of its proper divisors (23417304101400).

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

10032434040420 is a wasteful number, since it uses less digits than its factorization.

10032434040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460626026 (or 460626010 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10032434040420 its reverse (2404043423001), we get a palindrome (12436477463421).

The spelling of 10032434040420 in words is "ten trillion, thirty-two billion, four hundred thirty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 460625989 921251978 1381877967 1842503956 2303129945 2763755934 4145633901 4606259890 5066885879 5527511868 6909389835 8291267802 9212519780 10133771758 13818779670 15200657637 16582535604 20267543516 20728169505 25334429395 27637559340 30401315274 41456339010 45601972911 50668858790 55735744669 60802630548 76003288185 82912678020 91203945822 101337717580 111471489338 152006576370 167207234007 182407891644 222942978676 228009864555 278678723345 304013152740 334414468014 456019729110 501621702021 557357446690 668828936028 836036170035 912039458220 1003243404042 1114714893380 1672072340070 2006486808084 2508108510105 3344144680140 5016217020210 10032434040420