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4302006431868 = 22323159224329129
BaseRepresentation
bin111110100110100011100…
…100001011000001111100
3120020021020020002000202200
4332212203210023001330
51030441002121304433
613052151531551500
7622544505216165
oct76464344130174
916207206060680
104302006431868
11140951a528922
125959112bb590
132528a6514122
1410c30ab3276c
1576d8989c613
hex3e9a390b07c

4302006431868 has 144 divisors (see below), whose sum is σ = 11421048038400. Its totient is φ = 1363567898880.

The previous prime is 4302006431867. The next prime is 4302006431873. The reversal of 4302006431868 is 8681346002034.

4302006431868 is a `hidden beast` number, since 4 + 3 + 0 + 200 + 6 + 431 + 8 + 6 + 8 = 666.

4302006431868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4302006431867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147673528 + ... + 147702656.

It is an arithmetic number, because the mean of its divisors is an integer number (79312833600).

Almost surely, 24302006431868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4302006431868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710524019200).

4302006431868 is an abundant number, since it is smaller than the sum of its proper divisors (7119041606532).

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

4302006431868 is a wasteful number, since it uses less digits than its factorization.

4302006431868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31472 (or 31467 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4302006431868 in words is "four trillion, three hundred two billion, six million, four hundred thirty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 531 558 708 1062 1116 1829 2124 2243 3658 4486 5487 6729 7316 8972 10974 13458 16461 20187 21948 26916 29129 32922 40374 58258 65844 69533 80748 87387 116516 132337 139066 174774 208599 262161 264674 278132 349548 397011 417198 524322 529348 625797 794022 834396 902999 1048644 1191033 1251594 1588044 1718611 1805998 2382066 2503188 2708997 3437222 3611996 4102447 4764132 5155833 5417994 6874444 8126991 8204894 10311666 10835988 12307341 15467499 16253982 16409788 20623332 24614682 30934998 32507964 36922023 49229364 53276941 61869996 65336347 73844046 106553882 130672694 147688092 159830823 196009041 213107764 261345388 319661646 392018082 479492469 588027123 639323292 784036164 958984938 1176054246 1917969876 2025426757 2352108492 3854844473 4050853514 6076280271 7709688946 8101707028 11564533419 12152560542 15419377892 18228840813 23129066838 24305121084 34693600257 36457681626 46258133676 69387200514 72915363252 119500178663 138774401028 239000357326 358500535989 478000714652 717001071978 1075501607967 1434002143956 2151003215934 4302006431868