Search a number
-
+
136141433153520 = 24352232543748751
BaseRepresentation
bin11110111101000111100101…
…110000110010011111110000
3122212000222211112222110110020
4132331013211300302133300
5120321020123341403040
61201314302212203440
740450615425166254
oct3675074560623760
9585028745873406
10136141433153520
113a4192918a7213
1213329156609580
135ac710b392bb2
1425893cda7c264
1510b153ee95cd0
hex7bd1e5c327f0

136141433153520 has 80 divisors (see below), whose sum is σ = 423930992013312. Its totient is φ = 36141582240000.

The previous prime is 136141433153491. The next prime is 136141433153527. The reversal of 136141433153520 is 25351334141631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1361414331535202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136141433153527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271820856 + ... + 1271927895.

Almost surely, 2136141433153520 is an apocalyptic number.

136141433153520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136141433153520 is an abundant number, since it is smaller than the sum of its proper divisors (287789558859792).

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

136141433153520 is a wasteful number, since it uses less digits than its factorization.

136141433153520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543748990 (or 2543748984 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 136141433153520 in words is "one hundred thirty-six trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 8920 10704 13380 17840 26760 53520 2543748751 5087497502 7631246253 10174995004 12718743755 15262492506 20349990008 25437487510 30524985012 38156231265 40699980016 50874975020 61049970024 76312462530 101749950040 122099940048 152624925060 203499900080 305249850120 567255971473 610499700240 1134511942946 1701767914419 2269023885892 2836279857365 3403535828838 4538047771784 5672559714730 6807071657676 8508839572095 9076095543568 11345119429460 13614143315352 17017679144190 22690238858920 27228286630704 34035358288380 45380477717840 68070716576760 136141433153520