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140234001320020 = 225198931713080383
BaseRepresentation
bin11111111000101011000101…
…110101011000100001010100
3200101112020110200000020122111
4133320223011311120201110
5121340043213314220040
61214130335535240404
741352400165504006
oct3770530565304124
9611466420006574
10140234001320020
11407569a6941423
121388a357379104
13603301808913a
14268b50cdd2376
151132c1c9c0dea
hex7f8ac5d58854

140234001320020 has 96 divisors (see below), whose sum is σ = 314462895667200. Its totient is φ = 52378453822464.

The previous prime is 140234001319943. The next prime is 140234001320027. The reversal of 140234001320020 is 20023100432041.

It is a super-2 number, since 2×1402340013200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140234001319973 and 140234001320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140234001320027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4180749 + ... + 17261131.

It is an arithmetic number, because the mean of its divisors is an integer number (3275655163200).

Almost surely, 2140234001320020 is an apocalyptic number.

140234001320020 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 140234001320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157231447833600).

140234001320020 is an abundant number, since it is smaller than the sum of its proper divisors (174228894347180).

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

140234001320020 is a wasteful number, since it uses less digits than its factorization.

140234001320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13080817 (or 13080815 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 140234001320020 its reverse (20023100432041), we get a palindrome (160257101752061).

The spelling of 140234001320020 in words is "one hundred forty trillion, two hundred thirty-four billion, one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 317 356 380 445 634 890 1268 1585 1691 1780 3170 3382 6023 6340 6764 8455 12046 16910 24092 28213 30115 33820 56426 60230 112852 120460 141065 282130 536047 564260 1072094 2144188 2680235 5360470 10720940 13080383 26160766 52321532 65401915 130803830 248527277 261607660 497054554 994109108 1164154087 1242636385 2328308174 2485272770 4146481411 4656616348 4970545540 5820770435 8292962822 11641540870 16585925644 20732407055 22118927653 23283081740 41464814110 44237855306 78783146809 82929628220 88475710612 110594638265 157566293618 221189276530 315132587236 369036845579 393915734045 442378553060 738073691158 787831468090 1476147382316 1575662936180 1845184227895 3690368455790 7011700066001 7380736911580 14023400132002 28046800264004 35058500330005 70117000660010 140234001320020