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120340141400 = 23524123896143
BaseRepresentation
bin111000000010011010…
…1001101010101011000
3102111121201012120210002
41300010311031111120
53432424034011100
6131141122512132
711460066216203
oct1600465152530
9374551176702
10120340141400
1147043966416
121b3a5805648
13b46a7cb17b
145b785a893a
1531e4c932d5
hex1c04d4d558

120340141400 has 96 divisors (see below), whose sum is σ = 286781644800. Its totient is φ = 46934707200.

The previous prime is 120340141381. The next prime is 120340141417. The reversal of 120340141400 is 4141043021.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19586729 + ... + 19592871.

It is an arithmetic number, because the mean of its divisors is an integer number (2987308800).

Almost surely, 2120340141400 is an apocalyptic number.

120340141400 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 120340141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143390822400).

120340141400 is an abundant number, since it is smaller than the sum of its proper divisors (166441503400).

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

120340141400 is a wasteful number, since it uses less digits than its factorization.

120340141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120340141400 its reverse (4141043021), we get a palindrome (124481184421).

The spelling of 120340141400 in words is "one hundred twenty billion, three hundred forty million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 2389 4100 4778 6143 8200 9556 11945 12286 19112 23890 24572 30715 47780 49144 59725 61430 95560 97949 119450 122860 153575 195898 238900 245720 251863 307150 391796 477800 489745 503726 614300 783592 979490 1007452 1228600 1259315 1958980 2014904 2448725 2518630 3917960 4897450 5037260 6296575 9794900 10074520 12593150 14675627 19589800 25186300 29351254 50372600 58702508 73378135 117405016 146756270 293512540 366890675 587025080 601700707 733781350 1203401414 1467562700 2406802828 2935125400 3008503535 4813605656 6017007070 12034014140 15042517675 24068028280 30085035350 60170070700 120340141400