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142234130000400 = 24352118528441667
BaseRepresentation
bin100000010101110001110110…
…110010110010101000010000
3200122121110011001222201220120
4200111301312302302220100
5122120330444240003100
61222301242434310240
741650035222665364
oct4025616662625020
9618543131881816
10142234130000400
1141358179392729
1213b51b16428380
13614980c196439
14271a2509bb2a4
151169c81e1b0a0
hex815c76cb2a10

142234130000400 has 60 divisors (see below), whose sum is σ = 455623329771792. Its totient is φ = 37929101333120.

The previous prime is 142234130000329. The next prime is 142234130000453. The reversal of 142234130000400 is 4000031432241.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59264219634 + ... + 59264222033.

Almost surely, 2142234130000400 is an apocalyptic number.

142234130000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142234130000400 is an abundant number, since it is smaller than the sum of its proper divisors (313389199771392).

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

142234130000400 is a wasteful number, since it uses less digits than its factorization.

142234130000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118528441688 (or 118528441677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142234130000400 its reverse (4000031432241), we get a palindrome (146234161432641).

The spelling of 142234130000400 in words is "one hundred forty-two trillion, two hundred thirty-four billion, one hundred thirty million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 118528441667 237056883334 355585325001 474113766668 592642208335 711170650002 948227533336 1185284416670 1422341300004 1777926625005 1896455066672 2370568833340 2844682600008 2963211041675 3555853250010 4741137666680 5689365200016 5926422083350 7111706500020 8889633125025 9482275333360 11852844166700 14223413000040 17779266250050 23705688333400 28446826000080 35558532500100 47411376666800 71117065000200 142234130000400