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2024004202000 = 24531192000191
BaseRepresentation
bin11101011101000000000…
…011010010111000010000
321011111022022222122201121
4131131000003102320100
5231130130033431000
64145451550212024
7266141465566204
oct35350003227020
97144268878647
102024004202000
11710414674060
12288322ab4014
13118b2a6a21b1
146dd688a0b04
15379b054db1a
hex1d7400d2e10

2024004202000 has 80 divisors (see below), whose sum is σ = 5338955142144. Its totient is φ = 736001520000.

The previous prime is 2024004201971. The next prime is 2024004202057. The reversal of 2024004202000 is 2024004202.

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 (16).

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, 45978096 + ... + 46022095.

Almost surely, 22024004202000 is an apocalyptic number.

2024004202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024004202000 is an abundant number, since it is smaller than the sum of its proper divisors (3314950940144).

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

2024004202000 is a wasteful number, since it uses less digits than its factorization.

2024004202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92000225 (or 92000209 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2024004202000 its reverse (2024004202), we get a palindrome (2026028206202).

2024004202000 divided by its reverse (2024004202) gives a cube (1000 = 103).

The spelling of 2024004202000 in words is "two trillion, twenty-four billion, four million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 92000191 184000382 368000764 460000955 736001528 920001910 1012002101 1472003056 1840003820 2024004202 2300004775 3680007640 4048008404 4600009550 5060010505 7360015280 8096016808 9200019100 10120021010 11500023875 16192033616 18400038200 20240042020 23000047750 25300052525 36800076400 40480084040 46000095500 50600105050 80960168080 92000191000 101200210100 126500262625 184000382000 202400420200 253000525250 404800840400 506001050500 1012002101000 2024004202000