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1140042423040 = 285832129287
BaseRepresentation
bin10000100101101111110…
…100101101101100000000
311000222122111221121200221
4100211233310231230000
5122134301330014130
62231421145352424
7145236212464453
oct20455764555400
94028574847627
101140042423040
113aa5422550a4
12164b45a98714
1383675892211
143d26d55949a
151e9c606787a
hex1096fd2db00

1140042423040 has 108 divisors (see below), whose sum is σ = 2764076336784. Its totient is φ = 450519304192.

The previous prime is 1140042423019. The next prime is 1140042423077. The reversal of 1140042423040 is 403242400411.

It is a junction number, because it is equal to n+sod(n) for n = 1140042422996 and 1140042423014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8753277 + ... + 8882563.

Almost surely, 21140042423040 is an apocalyptic number.

1140042423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140042423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382038168392).

1140042423040 is an abundant number, since it is smaller than the sum of its proper divisors (1624033913744).

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

1140042423040 is an frugal number, since it uses more digits than its factorization.

1140042423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129474 (or 129377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1140042423040 its reverse (403242400411), we get a palindrome (1543284823451).

The spelling of 1140042423040 in words is "one trillion, one hundred forty billion, forty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 640 664 830 1280 1328 1660 2656 3320 5312 6640 6889 10624 13280 13778 21248 26560 27556 34445 53120 55112 68890 106240 110224 129287 137780 220448 258574 275560 440896 517148 551120 646435 881792 1034296 1102240 1292870 1763584 2068592 2204480 2585740 4137184 4408960 5171480 8274368 8817920 10342960 10730821 16548736 20685920 21461642 33097472 41371840 42923284 53654105 82743680 85846568 107308210 165487360 171693136 214616420 343386272 429232840 686772544 858465680 890658143 1373545088 1716931360 1781316286 2747090176 3433862720 3562632572 4453290715 6867725440 7125265144 8906581430 13735450880 14250530288 17813162860 28501060576 35626325720 57002121152 71252651440 114004242304 142505302880 228008484608 285010605760 570021211520 1140042423040