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140214200140 = 225741127192343
BaseRepresentation
bin1000001010010101101…
…0101110011101001100
3111101220202202101002201
42002211122232131030
54244124313401030
6144225152531244
713062432015340
oct2024532563514
9441822671081
10140214200140
1154512295953
1223211550b24
13102b707b841
146b01c69620
1539a99332ca
hex20a56ae74c

140214200140 has 96 divisors (see below), whose sum is σ = 347437891584. Its totient is φ = 46531376640.

The previous prime is 140214200131. The next prime is 140214200197. The reversal of 140214200140 is 41002412041.

140214200140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 632809 + ... + 825151.

It is an arithmetic number, because the mean of its divisors is an integer number (3619144704).

Almost surely, 2140214200140 is an apocalyptic number.

140214200140 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 140214200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173718945792).

140214200140 is an abundant number, since it is smaller than the sum of its proper divisors (207223691444).

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

140214200140 is a wasteful number, since it uses less digits than its factorization.

140214200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192527 (or 192525 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 140214200140 its reverse (41002412041), we get a palindrome (181216612181).

The spelling of 140214200140 in words is "one hundred forty billion, two hundred fourteen million, two hundred thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 127 140 164 205 254 287 410 508 574 635 820 889 1148 1270 1435 1778 2540 2870 3556 4445 5207 5740 8890 10414 17780 20828 26035 36449 52070 72898 104140 145796 182245 192343 364490 384686 728980 769372 961715 1346401 1923430 2692802 3846860 5385604 6732005 7886063 13464010 15772126 24427561 26928020 31544252 39430315 48855122 55202441 78860630 97710244 110404882 122137805 157721260 170992927 220809764 244275610 276012205 341985854 488551220 552024410 683971708 854964635 1001530001 1104048820 1709929270 2003060002 3419858540 4006120004 5007650005 7010710007 10015300010 14021420014 20030600020 28042840028 35053550035 70107100070 140214200140