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1004232000420 = 2232511246107989
BaseRepresentation
bin11101001110100001110…
…01000100001110100100
310120000002122200022200100
432213100321010032210
5112423131343003140
62045200544544100
7132360543106455
oct16472071041644
93500078608610
101004232000420
1135798a869500
12142763322030
1373910c99bbc
143686850d12c
151b1c8067530
hexe9d0e443a4

1004232000420 has 108 divisors (see below), whose sum is σ = 3348270017820. Its totient is φ = 243450176640.

The previous prime is 1004232000383. The next prime is 1004232000427. The reversal of 1004232000420 is 240002324001.

1004232000420 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 3 + 200 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122544804096 + 881687196324 = 350064^2 + 938982^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004232000393 and 1004232000402.

It is not an unprimeable number, because it can be changed into a prime (1004232000427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23032215 + ... + 23075774.

It is an arithmetic number, because the mean of its divisors is an integer number (31002500165).

Almost surely, 21004232000420 is an apocalyptic number.

1004232000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004232000420 is an abundant number, since it is smaller than the sum of its proper divisors (2344038017400).

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

1004232000420 is a wasteful number, since it uses less digits than its factorization.

1004232000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46108026 (or 46108010 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1004232000420 its reverse (240002324001), we get a palindrome (1244234324421).

The spelling of 1004232000420 in words is "one trillion, four billion, two hundred thirty-two million, four hundred twenty", and thus it is an aban number.

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 46107989 92215978 138323967 184431956 230539945 276647934 414971901 461079890 507187879 553295868 691619835 829943802 922159780 1014375758 1383239670 1521563637 1659887604 2028751516 2074859505 2535939395 2766479340 3043127274 4149719010 4564690911 5071878790 5579066669 6086254548 7607818185 8299438020 9129381822 10143757580 11158133338 15215636370 16737200007 18258763644 22316266676 22823454555 27895333345 30431272740 33474400014 45646909110 50211600021 55790666690 66948800028 83686000035 91293818220 100423200042 111581333380 167372000070 200846400084 251058000105 334744000140 502116000210 1004232000420