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2023154509040 = 245727337132157
BaseRepresentation
bin11101011100001101011…
…001111110010011110000
321011102010010010210002222
4131130031121332103300
5231121410023242130
64145231354300212
7266111440404230
oct35341531762360
97142103123088
102023154509040
11710018a82175
12288126427668
13118a236408b2
146dcc7abbcc0
1537960b5cce5
hex1d70d67e4f0

2023154509040 has 80 divisors (see below), whose sum is σ = 5376047881152. Its totient is φ = 693622351872.

The previous prime is 2023154509003. The next prime is 2023154509097. The reversal of 2023154509040 is 409054513202.

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 (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15242642 + ... + 15374798.

Almost surely, 22023154509040 is an apocalyptic number.

2023154509040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023154509040 is an abundant number, since it is smaller than the sum of its proper divisors (3352893372112).

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

2023154509040 is a wasteful number, since it uses less digits than its factorization.

2023154509040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159514 (or 159508 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 2023154509040 in words is "two trillion, twenty-three billion, one hundred fifty-four million, five hundred nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 27337 54674 109348 132157 136685 191359 218696 264314 273370 382718 437392 528628 546740 660785 765436 925099 956795 1057256 1093480 1321570 1530872 1850198 1913590 2114512 2186960 2643140 3061744 3700396 3827180 4625495 5286280 7400792 7654360 9250990 10572560 14801584 15308720 18501980 37003960 74007920 3612775909 7225551818 14451103636 18063879545 25289431363 28902207272 36127759090 50578862726 57804414544 72255518180 101157725452 126447156815 144511036360 202315450904 252894313630 289022072720 404630901808 505788627260 1011577254520 2023154509040