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3454366562130 = 23511101642116141
BaseRepresentation
bin110010010001001000010…
…010101011011101010010
3110020020022202010011020010
4302101020102223131102
5423044020314442010
611202525235455350
7504366265211511
oct62211022533522
913206282104203
103454366562130
111111a96961960
12479590457556
131c098c764223
14bd2996bc678
155ecc9013620
hex324484ab752

3454366562130 has 128 divisors (see below), whose sum is σ = 9135694294272. Its totient is φ = 828950400000.

The previous prime is 3454366562123. The next prime is 3454366562147. The reversal of 3454366562130 is 312656634543.

It is a self number, because there is not a number n which added to its sum of digits gives 3454366562130.

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, 214003860 + ... + 214020000.

It is an arithmetic number, because the mean of its divisors is an integer number (71372611674).

Almost surely, 23454366562130 is an apocalyptic number.

3454366562130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454366562130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567847147136).

3454366562130 is an abundant number, since it is smaller than the sum of its proper divisors (5681327732142).

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

3454366562130 is a wasteful number, since it uses less digits than its factorization.

3454366562130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 3454366562130 in words is "three trillion, four hundred fifty-four billion, three hundred sixty-six million, five hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6421 6666 11110 12842 16141 16665 19263 32105 32282 33330 38526 48423 64210 70631 80705 96315 96846 141262 161410 177551 192630 211893 242115 353155 355102 423786 484230 532653 648521 706310 887755 1059465 1065306 1297042 1630241 1775510 1945563 2118930 2663265 3242605 3260482 3891126 4890723 5326530 6485210 7133731 8151205 9727815 9781446 14267462 16302410 17932651 19455630 21401193 24453615 35668655 35865302 42802386 48907230 53797953 71337310 89663255 103641361 107005965 107595906 179326510 207282722 214011930 268989765 310924083 518206805 537979530 621848166 1036413610 1140054971 1554620415 2280109942 3109240830 3420164913 5700274855 6840329826 10467777461 11400549710 17100824565 20935554922 31403332383 34201649130 52338887305 62806664766 104677774610 115145552071 157016661915 230291104142 314033323830 345436656213 575727760355 690873312426 1151455520710 1727183281065 3454366562130