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1031112144040 = 235118370140277
BaseRepresentation
bin11110000000100110001…
…00101011010010101000
310122120110222102002200011
433000103010223102220
5113343204202102130
62105404131421304
7134331630420226
oct17002304532250
93576428362604
101031112144040
11368323a19230
12147a05454834
1376305ba4024
1437c98471b16
151bc4cd2452a
hexf01312b4a8

1031112144040 has 128 divisors (see below), whose sum is σ = 2565122152320. Its totient is φ = 369894784000.

The previous prime is 1031112144019. The next prime is 1031112144059. The reversal of 1031112144040 is 404412111301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25580382 + ... + 25620658.

It is an arithmetic number, because the mean of its divisors is an integer number (20040016815).

Almost surely, 21031112144040 is an apocalyptic number.

1031112144040 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 1031112144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282561076160).

1031112144040 is an abundant number, since it is smaller than the sum of its proper divisors (1534010008280).

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

1031112144040 is a wasteful number, since it uses less digits than its factorization.

1031112144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41083 (or 41079 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1031112144040 its reverse (404412111301), we get a palindrome (1435524255341).

The spelling of 1031112144040 in words is "one trillion, thirty-one billion, one hundred twelve million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 701 830 913 1402 1660 1826 2804 3320 3505 3652 4565 5608 7010 7304 7711 9130 14020 15422 18260 28040 30844 36520 38555 40277 58183 61688 77110 80554 116366 154220 161108 201385 232732 290915 308440 322216 402770 443047 465464 581830 640013 805540 886094 1163660 1280026 1611080 1772188 2215235 2327320 2560052 3200065 3342991 3544376 4430470 5120104 6400130 6685982 8860940 12800260 13371964 16714955 17721880 25600520 26743928 28234177 33429910 36772901 56468354 66859820 73545802 112936708 133719640 141170885 147091604 183864505 225873416 282341770 294183208 310575947 367729010 564683540 621151894 735458020 1129367080 1242303788 1470916040 1552879735 2343436691 2484607576 3105759470 4686873382 6211518940 9373746764 11717183455 12423037880 18747493528 23434366910 25777803601 46868733820 51555607202 93737467640 103111214404 128889018005 206222428808 257778036010 515556072020 1031112144040