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340135144020 = 223257318708017
BaseRepresentation
bin1001111001100011010…
…00100110101001010100
31012111221121021120222200
410330301220212221110
521033044044102040
6420131140324500
733400603010130
oct4746150465124
91174847246880
10340135144020
11121283470011
1255b066a3730
13260c7bab139
141266964c3c0
158caae8d630
hex4f31a26a54

340135144020 has 144 divisors (see below), whose sum is σ = 1217171923968. Its totient is φ = 75237258240.

The previous prime is 340135143991. The next prime is 340135144061. The reversal of 340135144020 is 20441531043.

It is a happy number.

It is a super-3 number, since 3×3401351440203 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4314949 + ... + 4393068.

Almost surely, 2340135144020 is an apocalyptic number.

340135144020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340135144020 is an abundant number, since it is smaller than the sum of its proper divisors (877036779948).

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

340135144020 is a wasteful number, since it uses less digits than its factorization.

340135144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8708070 (or 8708065 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 340135144020 its reverse (20441531043), we get a palindrome (360576675063).

The spelling of 340135144020 in words is "three hundred forty billion, one hundred thirty-five million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 39060 8708017 17416034 26124051 34832068 43540085 52248102 60956119 78372153 87080170 104496204 121912238 130620255 156744306 174160340 182868357 243824476 261240510 269948527 304780595 313488612 365736714 391860765 522481020 539897054 548605071 609561190 731473428 783721530 809845581 914341785 1079794108 1097210142 1219122380 1349742635 1567443060 1619691162 1828683570 1889639689 2194420284 2429536743 2699485270 2743025355 3239382324 3657367140 3779279378 4049227905 4859073486 5398970540 5486050710 5668919067 7558558756 8098455810 9448198445 9718146972 10972101420 11337838134 12147683715 16196911620 17006757201 18896396890 22675676268 24295367430 28344595335 34013514402 37792793780 48590734860 56689190670 68027028804 85033786005 113378381340 170067572010 340135144020