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142144414431032 = 231323457130032653
BaseRepresentation
bin100000010100011110010011…
…010101000011011100111000
3200122021212120122022121021002
4200110132103111003130320
5122112343230043243112
61222152124214304132
741640411046144556
oct4024362325033470
9618255518277232
10142144414431032
1141323120281582
1213b38658958048
136141212280410
142715b7d79cbd6
151167780a251c2
hex814793543738

142144414431032 has 64 divisors (see below), whose sum is σ = 300156975881280. Its totient is φ = 62615403113472.

The previous prime is 142144414431031. The next prime is 142144414431059. The reversal of 142144414431032 is 230134414441241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142144414431031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63923183 + ... + 66109470.

It is an arithmetic number, because the mean of its divisors is an integer number (4689952748145).

Almost surely, 2142144414431032 is an apocalyptic number.

It is an amenable number.

142144414431032 is an abundant number, since it is smaller than the sum of its proper divisors (158012561450248).

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

142144414431032 is a wasteful number, since it uses less digits than its factorization.

142144414431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130033152 (or 130033148 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 142144414431032 its reverse (230134414441241), we get a palindrome (372278828872273).

The spelling of 142144414431032 in words is "one hundred forty-two trillion, one hundred forty-four billion, four hundred fourteen million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 457 598 914 1196 1828 2392 3656 5941 10511 11882 21022 23764 42044 47528 84088 136643 273286 546572 1093144 130032653 260065306 520130612 1040261224 1690424489 2990751019 3380848978 5981502038 6761697956 11963004076 13523395912 23926008152 38879763247 59424922421 77759526494 118849844842 155519052988 237699689684 311038105976 475399379368 772523991473 1366773215683 1545047982946 2733546431366 3090095965892 5467092862732 6180191931784 10934185725464 17768051803879 35536103607758 71072207215516 142144414431032