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146434271360 = 2751317600273
BaseRepresentation
bin1000100001100000101…
…0011010100010000000
3111222222020220201201212
42020120022122202000
54344344133140420
6151134310345252
713402530524636
oct2103012324200
9458866821655
10146434271360
1157114368483
122446865b228
1310a6890b560
147131da3356
153c20a3c3c5
hex221829a880

146434271360 has 64 divisors (see below), whose sum is σ = 376997869080. Its totient is φ = 54068035584.

The previous prime is 146434271341. The next prime is 146434271387. The reversal of 146434271360 is 63172434641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 109222318144 + 37211953216 = 330488^2 + 192904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×1464342713604 (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8791817 + ... + 8808456.

Almost surely, 2146434271360 is an apocalyptic number.

146434271360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146434271360 is an abundant number, since it is smaller than the sum of its proper divisors (230563597720).

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

146434271360 is a wasteful number, since it uses less digits than its factorization.

146434271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600305 (or 17600293 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 146434271360 in words is "one hundred forty-six billion, four hundred thirty-four million, two hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 17600273 35200546 70401092 88001365 140802184 176002730 228803549 281604368 352005460 457607098 563208736 704010920 915214196 1126417472 1144017745 1408021840 1830428392 2252834944 2288035490 2816043680 3660856784 4576070980 5632087360 7321713568 9152141960 11264174720 14643427136 18304283920 29286854272 36608567840 73217135680 146434271360