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142321013300154 = 231379161929534831
BaseRepresentation
bin100000010111000010110001…
…011100010001101110111010
3200122220202102010020200001110
4200113002301130101232322
5122123241413401101104
61222405212041101150
741656232245600323
oct4027026134215672
9618822363220043
10142321013300154
1141391003785797
1213b669234877b6
136154a77394190
1427205339b544a
15116c169850e89
hex8170b1711bba

142321013300154 has 128 divisors (see below), whose sum is σ = 310779024998400. Its totient is φ = 43186483791360.

The previous prime is 142321013300119. The next prime is 142321013300161. The reversal of 142321013300154 is 451003310123241.

It is a super-3 number, since 3×1423210133001543 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29459946519 + ... + 29459951349.

It is an arithmetic number, because the mean of its divisors is an integer number (2427961132800).

Almost surely, 2142321013300154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142321013300154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155389512499200).

142321013300154 is an abundant number, since it is smaller than the sum of its proper divisors (168458011698246).

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

142321013300154 is a wasteful number, since it uses less digits than its factorization.

142321013300154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 142321013300154 its reverse (451003310123241), we get a palindrome (593324323423395).

The spelling of 142321013300154 in words is "one hundred forty-two trillion, three hundred twenty-one billion, thirteen million, three hundred thousand, one hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 79 158 237 474 1027 1619 2054 2953 3081 3238 4831 4857 5906 6162 8859 9662 9714 14493 17718 21047 28986 38389 42094 62803 63141 76778 115167 125606 126282 127901 188409 230334 233287 255802 376818 381649 383703 466574 699861 763298 767406 1144947 1399722 1662713 2289894 3032731 3325426 4780907 4961437 4988139 6065462 7821389 9098193 9561814 9922874 9976278 14265943 14342721 14884311 15642778 18196386 23464167 28531886 28685442 29768622 42797829 46928334 62151791 85595658 101678057 124303582 185457259 186455373 203356114 305034171 370914518 372910746 377691653 556371777 610068342 617889731 755383306 1112743554 1127009497 1133074959 1235779462 1853669193 2254018994 2266149918 3381028491 3707338386 4909991489 6762056982 8032566503 9819982978 14651123461 14729974467 16065133006 23096561717 24097699509 29302246922 29459948934 43953370383 46193123434 48195399018 69289685151 87906740766 138579370302 300255302321 600510604642 900765906963 1801531813926 1824628375643 3649256751286 5473885126929 10947770253858 23720168883359 47440337766718 71160506650077 142321013300154