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140000210400 = 25352109535169
BaseRepresentation
bin1000001001100010101…
…0011010110111100000
3111101100212002120100210
42002120222122313200
54243210023213100
6144152030214120
713054223103501
oct2023052326740
9441325076323
10140000210400
1154412518226
1223171954340
13102819369ab
146ac1684ba8
153995c63c50
hex2098a9ade0

140000210400 has 144 divisors (see below), whose sum is σ = 459882284400. Its totient is φ = 36990812160.

The previous prime is 140000210351. The next prime is 140000210401. The reversal of 140000210400 is 4012000041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140000210401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5985 + ... + 529184.

It is an arithmetic number, because the mean of its divisors is an integer number (3193626975).

Almost surely, 2140000210400 is an apocalyptic number.

140000210400 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 140000210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229941142200).

140000210400 is an abundant number, since it is smaller than the sum of its proper divisors (319882074000).

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

140000210400 is a wasteful number, since it uses less digits than its factorization.

140000210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535301 (or 535288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 140000210400 its reverse (4012000041), we get a palindrome (144012210441).

The spelling of 140000210400 in words is "one hundred forty billion, two hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 109 120 150 160 200 218 240 300 327 400 436 480 545 600 654 800 872 1090 1200 1308 1635 1744 2180 2400 2616 2725 3270 3488 4360 5232 5450 6540 8175 8720 10464 10900 13080 16350 17440 21800 26160 32700 43600 52320 65400 87200 130800 261600 535169 1070338 1605507 2140676 2675845 3211014 4281352 5351690 6422028 8027535 8562704 10703380 12844056 13379225 16055070 17125408 21406760 25688112 26758450 32110140 40137675 42813520 51376224 53516900 58333421 64220280 80275350 85627040 107033800 116666842 128440560 160550700 175000263 214067600 233333684 256881120 291667105 321101400 350000526 428135200 466667368 583334210 642202800 700001052 875001315 933334736 1166668420 1284405600 1400002104 1458335525 1750002630 1866669472 2333336840 2800004208 2916671050 3500005260 4375006575 4666673680 5600008416 5833342100 7000010520 8750013150 9333347360 11666684200 14000021040 17500026300 23333368400 28000042080 35000052600 46666736800 70000105200 140000210400