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140216438042550 = 23252716603766457
BaseRepresentation
bin11111111000011010101110…
…111110110010111110110110
3200101110120010122121022022100
4133320122232332302332312
5121334301231114330200
61214114313053242530
741351206022221302
oct3770325676627666
9611416118538270
10140216438042550
114074a503927081
1213886a75493446
136031479486c6c
14268a7245a8d02
151132540b31d00
hex7f86aefb2fb6

140216438042550 has 144 divisors (see below), whose sum is σ = 382032206311392. Its totient is φ = 36863302694400.

The previous prime is 140216438042497. The next prime is 140216438042563. The reversal of 140216438042550 is 55240834612041.

140216438042550 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 64 + 38 + 0 + 4 + 2 + 550 = 666.

It is a super-2 number, since 2×1402164380425502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 140216438042496 and 140216438042505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2109848922 + ... + 2109915378.

It is an arithmetic number, because the mean of its divisors is an integer number (2653001432718).

Almost surely, 2140216438042550 is an apocalyptic number.

140216438042550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140216438042550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191016103155696).

140216438042550 is an abundant number, since it is smaller than the sum of its proper divisors (241815768268842).

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

140216438042550 is a wasteful number, since it uses less digits than its factorization.

140216438042550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132583 (or 132575 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 140216438042550 in words is "one hundred forty trillion, two hundred sixteen billion, four hundred thirty-eight million, forty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 2130 3195 3550 5325 6390 10650 15975 31950 66037 66457 132074 132914 198111 199371 330185 332285 396222 398742 594333 598113 660370 664570 990555 996855 1188666 1196226 1650925 1661425 1981110 1993710 2971665 2990565 3301850 3322850 4688627 4718447 4952775 4984275 5943330 5981130 9377254 9436894 9905550 9968550 14065881 14155341 14858325 14952825 23443135 23592235 28131762 28310682 29716650 29905650 42197643 42466023 46886270 47184470 70329405 70776705 84395286 84932046 117215675 117961175 140658810 141553410 210988215 212330115 234431350 235922350 351647025 353883525 421976430 424660230 703294050 707767050 1054941075 1061650575 2109882150 2123301150 4388620909 8777241818 13165862727 21943104545 26331725454 39497588181 43886209090 65829313635 78995176362 109715522725 131658627270 197487940905 219431045450 311592084539 329146568175 394975881810 623184169078 658293136350 934776253617 987439704525 1557960422695 1869552507234 1974879409050 2804328760851 3115920845390 4673881268085 5608657521702 7789802113475 9347762536170 14021643804255 15579604226950 23369406340425 28043287608510 46738812680850 70108219021275 140216438042550