Search a number
-
+
144650406363400 = 23527660671563893
BaseRepresentation
bin100000111000111100001100…
…000101101000000100001000
3200222011102222112020212102201
4200320330030011220010020
5122424423013012112100
61231351251310405544
742316434626130010
oct4070741405500410
9628142875225381
10144650406363400
11420a9990400283
12142822745008b4
136293623165162
1427a118d180c40
1511aca506c836a
hex838f0c168108

144650406363400 has 96 divisors (see below), whose sum is σ = 384362857506240. Its totient is φ = 49593642658560.

The previous prime is 144650406363341. The next prime is 144650406363403. The reversal of 144650406363400 is 4363604056441.

It is a super-2 number, since 2×1446504063634002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144650406363403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91711854 + ... + 93275746.

It is an arithmetic number, because the mean of its divisors is an integer number (4003779765690).

Almost surely, 2144650406363400 is an apocalyptic number.

144650406363400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144650406363400 is an abundant number, since it is smaller than the sum of its proper divisors (239712451142840).

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

144650406363400 is a wasteful number, since it uses less digits than its factorization.

144650406363400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629983 (or 1629974 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 144650406363400 in words is "one hundred forty-four trillion, six hundred fifty billion, four hundred six million, three hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 66067 132134 264268 330335 462469 528536 660670 924938 1321340 1563893 1651675 1849876 2312345 2642680 3127786 3303350 3699752 4624690 6255572 6606700 7819465 9249380 10947251 11561725 12511144 13213400 15638930 18498760 21894502 23123450 31277860 39097325 43789004 46246900 54736255 62555720 78194650 87578008 92493800 109472510 156389300 218945020 273681275 312778600 437890040 547362550 1094725100 2189450200 103321718831 206643437662 413286875324 516608594155 723252031817 826573750648 1033217188310 1446504063634 2066434376620 2583042970775 2893008127268 3616260159085 4132868753240 5166085941550 5786016254536 7232520318170 10332171883100 14465040636340 18081300795425 20664343766200 28930081272680 36162601590850 72325203181700 144650406363400