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140032334341400 = 23522813391173477
BaseRepresentation
bin11111110101101111010001…
…100010111010010100011000
3200100210221221011000021101012
4133311233101202322110120
5121323242210042411100
61213453544420113052
741332000533456014
oct3765572142722430
9610727834007335
10140032334341400
114068941a111546
1213857255535788
136019cb95b29a7
14268185b783544
15112c86801c135
hex7f5bd18ba518

140032334341400 has 96 divisors (see below), whose sum is σ = 326747889787680. Its totient is φ = 55811193984000.

The previous prime is 140032334341357. The next prime is 140032334341441. The reversal of 140032334341400 is 4143433230041.

It is a super-2 number, since 2×1400323343414002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1905761462 + ... + 1905834938.

It is an arithmetic number, because the mean of its divisors is an integer number (3403623851955).

Almost surely, 2140032334341400 is an apocalyptic number.

140032334341400 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 140032334341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163373944893840).

140032334341400 is an abundant number, since it is smaller than the sum of its proper divisors (186715555446280).

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

140032334341400 is a wasteful number, since it uses less digits than its factorization.

140032334341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107685 (or 107676 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 140032334341400 its reverse (4143433230041), we get a palindrome (144175767571441).

The spelling of 140032334341400 in words is "one hundred forty trillion, thirty-two billion, three hundred thirty-four million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 562 1124 1405 2248 2810 5620 7025 11240 14050 28100 33911 56200 67822 73477 135644 146954 169555 271288 293908 339110 367385 587816 678220 734770 847775 1356440 1469540 1695550 1836925 2939080 3391100 3673850 6782200 7347700 9528991 14695400 19057982 20647037 38115964 41294074 47644955 76231928 82588148 95289910 103235185 165176296 190579820 206470370 238224775 381159640 412940740 476449550 516175925 825881480 952899100 1032351850 1905798200 2064703700 2491678547 4129407400 4983357094 9966714188 12458392735 19933428376 24916785470 49833570940 62291963675 99667141880 124583927350 249167854700 498335709400 700161671707 1400323343414 2800646686828 3500808358535 5601293373656 7001616717070 14003233434140 17504041792675 28006466868280 35008083585350 70016167170700 140032334341400