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140042201233240 = 23579233925937307
BaseRepresentation
bin11111110101111000011101…
…101010000111011101011000
3200100211220101210022022102201
4133311320131222013131120
5121323422412003430430
61213502255445535544
741332500203613355
oct3765703552073530
9610756353268381
10140042201233240
1140692622781409
1213859149a145b4
13601abcc836a27
142682115d7762c
15112cc443858ca
hex7f5e1da87758

140042201233240 has 128 divisors (see below), whose sum is σ = 319386727296000. Its totient is φ = 55255276597248.

The previous prime is 140042201233201. The next prime is 140042201233279. The reversal of 140042201233240 is 42332102240041.

It is an interprime number because it is at equal distance from previous prime (140042201233201) and next prime (140042201233279).

It is a super-2 number, since 2×1400422012332402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140042201233199 and 140042201233208.

It is a congruent number.

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, 19165481667 + ... + 19165488973.

It is an arithmetic number, because the mean of its divisors is an integer number (2495208807000).

Almost surely, 2140042201233240 is an apocalyptic number.

140042201233240 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 140042201233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159693363648000).

140042201233240 is an abundant number, since it is smaller than the sum of its proper divisors (179344526062760).

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

140042201233240 is a wasteful number, since it uses less digits than its factorization.

140042201233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329 (or 12325 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140042201233240 its reverse (42332102240041), we get a palindrome (182374303473281).

The spelling of 140042201233240 in words is "one hundred forty trillion, forty-two billion, two hundred one million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 2339 2593 3160 4678 5186 7307 9356 10372 11695 12965 14614 18712 20744 23390 25930 29228 36535 46780 51860 58456 73070 93560 103720 146140 184781 204847 292280 369562 409694 577253 739124 819388 923905 1024235 1154506 1478248 1638776 1847810 2048470 2309012 2886265 3695620 4096940 4618024 5772530 6065027 7391240 8193880 11545060 12130054 17091073 18947051 23090120 24260108 30325135 34182146 37894102 48520216 60650270 68364292 75788204 85455365 94735255 121300540 136728584 151576408 170910730 189470510 242601080 341821460 378941020 479137133 683642920 757882040 958274266 1350194767 1496817029 1916548532 2395685665 2700389534 2993634058 3833097064 4791371330 5400779068 5987268116 6750973835 7484085145 9582742660 10801558136 11974536232 13501947670 14968170290 19165485320 27003895340 29936340580 44317152289 54007790680 59872681160 88634304578 177268609156 221585761445 354537218312 443171522890 886343045780 1772686091560 3501055030831 7002110061662 14004220123324 17505275154155 28008440246648 35010550308310 70021100616620 140042201233240