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2023434053040 = 243548711730851
BaseRepresentation
bin11101011100011110000…
…100010110010110110000
321011102211121011002101110
4131130132010112112300
5231122443104144130
64145315222033320
7266121403445301
oct35343604262660
97142747132343
102023434053040
11710151854774
122881a3b78840
13118a6952884a
146dd12c887a8
153797a47aab0
hex1d71e1165b0

2023434053040 has 80 divisors (see below), whose sum is σ = 6273936942336. Its totient is φ = 539471328000.

The previous prime is 2023434052909. The next prime is 2023434053051. The reversal of 2023434053040 is 403504343202.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2023434052989 and 2023434053007.

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, 303615 + ... + 2034465.

Almost surely, 22023434053040 is an apocalyptic number.

2023434053040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023434053040 is an abundant number, since it is smaller than the sum of its proper divisors (4250502889296).

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

2023434053040 is a wasteful number, since it uses less digits than its factorization.

2023434053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735738 (or 1735732 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 2023434053040 its reverse (403504343202), we get a palindrome (2426938396242).

The spelling of 2023434053040 in words is "two trillion, twenty-three billion, four hundred thirty-four million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4871 9742 14613 19484 24355 29226 38968 48710 58452 73065 77936 97420 116904 146130 194840 233808 292260 389680 584520 1169040 1730851 3461702 5192553 6923404 8654255 10385106 13846808 17308510 20770212 25962765 27693616 34617020 41540424 51925530 69234040 83080848 103851060 138468080 207702120 415404240 8430975221 16861950442 25292925663 33723900884 42154876105 50585851326 67447801768 84309752210 101171702652 126464628315 134895603536 168619504420 202343405304 252929256630 337239008840 404686810608 505858513260 674478017680 1011717026520 2023434053040