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144342020403400 = 23522334199973751
BaseRepresentation
bin100000110100011100111110…
…110110100011000011001000
3200221001221222120122221012111
4200310130332312203003020
5122404344424210402100
61230553450405152104
742255236552536351
oct4064347666430310
9627057876587174
10144342020403400
1141aa011a590126
121423254a6bb634
136270517b59551
1427902963c6d28
1511a4a01bd06ba
hex83473eda30c8

144342020403400 has 96 divisors (see below), whose sum is σ = 337048115040000. Its totient is φ = 57486862400000.

The previous prime is 144342020403389. The next prime is 144342020403407. The reversal of 144342020403400 is 4304020243441.

It is not an unprimeable number, because it can be changed into a prime (144342020403407) 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, 1957116525 + ... + 1957190275.

It is an arithmetic number, because the mean of its divisors is an integer number (3510917865000).

Almost surely, 2144342020403400 is an apocalyptic number.

144342020403400 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 144342020403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168524057520000).

144342020403400 is an abundant number, since it is smaller than the sum of its proper divisors (192706094636600).

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

144342020403400 is a wasteful number, since it uses less digits than its factorization.

144342020403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115999 (or 115990 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 144342020403400 its reverse (4304020243441), we get a palindrome (148646040646841).

The spelling of 144342020403400 in words is "one hundred forty-four trillion, three hundred forty-two billion, twenty million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 1165 1864 2330 4660 5825 9320 11650 23300 41999 46600 73751 83998 147502 167996 209995 295004 335992 368755 419990 590008 737510 839980 1049975 1475020 1679960 1843775 2099950 2950040 3687550 4199900 7375100 8399800 9785767 14750200 17183983 19571534 34367966 39143068 48928835 68735932 78286136 85919915 97857670 137471864 171839830 195715340 244644175 343679660 391430680 429599575 489288350 687359320 859199150 978576700 1718398300 1957153400 3097468249 3436796600 6194936498 12389872996 15487341245 24779745992 30974682490 61949364980 77436706225 123898729960 154873412450 309746824900 619493649800 721710102017 1443420204034 2886840408068 3608550510085 5773680816136 7217101020170 14434202040340 18042752550425 28868404080680 36085505100850 72171010201700 144342020403400