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142314133440 = 2635148243889
BaseRepresentation
bin1000010010001010010…
…1010101011111000000
3111121100010011001001010
42010202211111133000
54312424404232230
6145213405440520
713165451114013
oct2044245253700
9447303131033
10142314133440
115539a688916
12236b8870140
131056014521b
146c60ad937a
153a7de859b0
hex21229557c0

142314133440 has 56 divisors (see below), whose sum is σ = 451847376720. Its totient is φ = 37950435328.

The previous prime is 142314133427. The next prime is 142314133499. The reversal of 142314133440 is 44331413241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142314133398 and 142314133407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74120985 + ... + 74122904.

Almost surely, 2142314133440 is an apocalyptic number.

142314133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142314133440 is an abundant number, since it is smaller than the sum of its proper divisors (309533243280).

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

142314133440 is a wasteful number, since it uses less digits than its factorization.

142314133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148243909 (or 148243899 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 142314133440 its reverse (44331413241), we get a palindrome (186645546681).

The spelling of 142314133440 in words is "one hundred forty-two billion, three hundred fourteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 148243889 296487778 444731667 592975556 741219445 889463334 1185951112 1482438890 1778926668 2223658335 2371902224 2964877780 3557853336 4447316670 4743804448 5929755560 7115706672 8894633340 9487608896 11859511120 14231413344 17789266680 23719022240 28462826688 35578533360 47438044480 71157066720 142314133440