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1140340201120 = 25517748156041
BaseRepresentation
bin10000100110000001100…
…100101001011010100000
311001000102021021022102201
4100212001210221122200
5122140404042413440
62231510504022544
7145246456531231
oct20460144513240
94030367238381
101140340201120
113aa68535118a
12165009761a54
13836c2492873
143d29ad11088
151e9e228819a
hex109819296a0

1140340201120 has 96 divisors (see below), whose sum is σ = 2852959684176. Its totient is φ = 429239500800.

The previous prime is 1140340201093. The next prime is 1140340201153. The reversal of 1140340201120 is 211020430411.

It can be written as a sum of positive squares in 8 ways, for example, as 994639203856 + 145700997264 = 997316^2 + 381708^2 .

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, 20320300 + ... + 20376340.

Almost surely, 21140340201120 is an apocalyptic number.

1140340201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140340201120 is an abundant number, since it is smaller than the sum of its proper divisors (1712619483056).

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

1140340201120 is a wasteful number, since it uses less digits than its factorization.

1140340201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63554 (or 63546 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1140340201120 its reverse (211020430411), we get a palindrome (1351360631531).

The spelling of 1140340201120 in words is "one trillion, one hundred forty billion, three hundred forty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 7481 14962 29924 37405 56041 59848 74810 112082 119696 127177 149620 224164 239392 254354 280205 299240 448328 508708 560410 598480 635885 896656 952697 1017416 1120820 1196960 1271770 1793312 1905394 2034832 2241640 2543540 3810788 4069664 4483280 4763485 5087080 7621576 8966560 9526970 10174160 15243152 19053940 20348320 30486304 38107880 76215760 152431520 419242721 838485442 1676970884 2096213605 3353941768 4192427210 6707883536 7127126257 8384854420 13415767072 14254252514 16769708840 28508505028 33539417680 35635631285 57017010056 67078835360 71271262570 114034020112 142542525140 228068040224 285085050280 570170100560 1140340201120