Search a number
-
+
34554414402340 = 22572231533026371
BaseRepresentation
bin1111101101101010100111…
…00110001000101100100100
311112100100222112220012212121
413312311103212020230210
514012114420041333330
6201254025005555324
710164321413146300
oct766652346105444
9145310875805777
1034554414402340
1110012499109a68
123a60a63575b44
13163860c85ba51
1487662a626d00
153edc8da8d17a
hex1f6d53988b24

34554414402340 has 72 divisors (see below), whose sum is σ = 88081563229632. Its totient is φ = 11332130927040.

The previous prime is 34554414402259. The next prime is 34554414402373. The reversal of 34554414402340 is 4320441445543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766490646 + ... + 766535725.

It is an arithmetic number, because the mean of its divisors is an integer number (1223355044856).

Almost surely, 234554414402340 is an apocalyptic number.

It is an amenable number.

34554414402340 is an abundant number, since it is smaller than the sum of its proper divisors (53527148827292).

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

34554414402340 is a wasteful number, since it uses less digits than its factorization.

34554414402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533026417 (or 1533026408 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

Adding to 34554414402340 its reverse (4320441445543), we get a palindrome (38874855847883).

The spelling of 34554414402340 in words is "thirty-four trillion, five hundred fifty-four billion, four hundred fourteen million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 11270 22540 1533026371 3066052742 6132105484 7665131855 10731184597 15330263710 21462369194 30660527420 35259606533 42924738388 53655922985 70519213066 75118292179 107311845970 141038426132 150236584358 176298032665 214623691940 246817245731 300473168716 352596065330 375591460895 493634491462 705192130660 751182921790 987268982924 1234086228655 1502365843580 1727720720117 2468172457310 3455441440234 4936344914620 6910882880468 8638603600585 17277207201170 34554414402340