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4142206061460 = 22325198913608667
BaseRepresentation
bin111100010001101110101…
…110001000101110010100
3112122222202110111010002100
4330101232232020232110
51020331214222431320
612450523031242100
7605156504405355
oct74215656105624
915588673433070
104142206061460
1113577773753a5
1256a954519330
132407ba73202c
141046ab945d2c
1572b356e4790
hex3c46eb88b94

4142206061460 has 144 divisors (see below), whose sum is σ = 13374598910400. Its totient is φ = 1034694093312.

The previous prime is 4142206061447. The next prime is 4142206061471. The reversal of 4142206061460 is 641606022414.

4142206061460 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 0 + 606 + 1 + 46 + 0 = 666.

4142206061460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499954 + ... + 7108713.

It is an arithmetic number, because the mean of its divisors is an integer number (92879159100).

Almost surely, 24142206061460 is an apocalyptic number.

It is an amenable number.

4142206061460 is an abundant number, since it is smaller than the sum of its proper divisors (9232392848940).

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

4142206061460 is a wasteful number, since it uses less digits than its factorization.

4142206061460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608790 (or 13608785 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4142206061460 in words is "four trillion, one hundred forty-two billion, two hundred six million, sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 356 380 445 534 570 684 801 855 890 1068 1140 1335 1602 1691 1710 1780 2670 3204 3382 3420 4005 5073 5340 6764 8010 8455 10146 15219 16020 16910 20292 25365 30438 33820 50730 60876 76095 101460 152190 304380 13608667 27217334 40826001 54434668 68043335 81652002 122478003 136086670 163304004 204130005 244956006 258564673 272173340 408260010 489912012 517129346 612390015 775694019 816520020 1034258692 1211171363 1224780030 1292823365 1551388038 2327082057 2422342726 2449560060 2585646730 3102776076 3633514089 3878470095 4654164114 4844685452 5171293460 6055856815 7267028178 7756940190 9308328228 10900542267 11635410285 12111713630 14534056356 15513880380 18167570445 21801084534 23012255897 23270820570 24223427260 36335140890 43602169068 46024511794 46541641140 54502711335 69036767691 72670281780 92049023588 109005422670 115061279485 138073535382 207110303073 218010845340 230122558970 276147070764 345183838455 414220606146 460245117940 690367676910 828441212292 1035551515365 1380735353820 2071103030730 4142206061460