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1134333312140 = 2257151337159223
BaseRepresentation
bin10000100000011011100…
…010001011110010001100
311000102220122020201212002
4100200123202023302030
5122041103311442030
62225034443331432
7144644560031330
oct20403342136214
94012818221762
101134333312140
113a8082645626
12163a11b20b78
1382c75b542a2
143cc8b22b7c0
151e78ec3e245
hex1081b88bc8c

1134333312140 has 96 divisors (see below), whose sum is σ = 2748578187264. Its totient is φ = 385189862400.

The previous prime is 1134333312137. The next prime is 1134333312223. The reversal of 1134333312140 is 412133334311.

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, 7044569 + ... + 7203791.

It is an arithmetic number, because the mean of its divisors is an integer number (28631022784).

Almost surely, 21134333312140 is an apocalyptic number.

1134333312140 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 1134333312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374289093632).

1134333312140 is an abundant number, since it is smaller than the sum of its proper divisors (1614244875124).

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

1134333312140 is a wasteful number, since it uses less digits than its factorization.

1134333312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159727 (or 159725 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 1134333312140 its reverse (412133334311), we get a palindrome (1546466646451).

The spelling of 1134333312140 in words is "one trillion, one hundred thirty-four billion, three hundred thirty-three million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 337 604 674 755 1057 1348 1510 1685 2114 2359 3020 3370 4228 4718 5285 6740 9436 10570 11795 21140 23590 47180 50887 101774 159223 203548 254435 318446 356209 508870 636892 712418 796115 1017740 1114561 1424836 1592230 1781045 2229122 3184460 3562090 4458244 5572805 7124180 11145610 22291220 24042673 48085346 53658151 96170692 107316302 120213365 168298711 214632604 240426730 268290755 336597422 375607057 480853460 536581510 673194844 751214114 841493555 1073163020 1502428228 1682987110 1878035285 3365974220 3756070570 7512141140 8102380801 16204761602 32409523204 40511904005 56716665607 81023808010 113433331214 162047616020 226866662428 283583328035 567166656070 1134333312140