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142001311400 = 235213431126719
BaseRepresentation
bin1000010000111111110…
…0000000111010101000
3111120112022112000212122
42010033330000322220
54311304313431100
6145122352530412
713154632142264
oct2041774007250
9446468460778
10142001311400
115524a047003
122362bb50a08
13105103a8220
146c313490a4
153a61792985
hex210ff00ea8

142001311400 has 96 divisors (see below), whose sum is σ = 356377190400. Its totient is φ = 52309190400.

The previous prime is 142001311337. The next prime is 142001311447. The reversal of 142001311400 is 4113100241.

It is a happy 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, 1057241 + ... + 1183959.

It is an arithmetic number, because the mean of its divisors is an integer number (3712262400).

Almost surely, 2142001311400 is an apocalyptic number.

142001311400 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 142001311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188595200).

142001311400 is an abundant number, since it is smaller than the sum of its proper divisors (214375879000).

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

142001311400 is a wasteful number, since it uses less digits than its factorization.

142001311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127179 (or 127170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 142001311400 its reverse (4113100241), we get a palindrome (146114411641).

The spelling of 142001311400 in words is "one hundred forty-two billion, one million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 431 520 650 862 1300 1724 2155 2600 3448 4310 5603 8620 10775 11206 17240 21550 22412 28015 43100 44824 56030 86200 112060 126719 140075 224120 253438 280150 506876 560300 633595 1013752 1120600 1267190 1647347 2534380 3167975 3294694 5068760 6335950 6589388 8236735 12671900 13178776 16473470 25343800 32946940 41183675 54615889 65893880 82367350 109231778 164734700 218463556 273079445 329469400 436927112 546158890 710006557 1092317780 1365397225 1420013114 2184635560 2730794450 2840026228 3550032785 5461588900 5680052456 7100065570 10923177800 14200131140 17750163925 28400262280 35500327850 71000655700 142001311400