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153505043040 = 2535417800053
BaseRepresentation
bin1000111011110110011…
…1010001001001100000
3112200020000211011000110
42032331213101021200
510003334242334130
6154304053451320
714042666223426
oct2167547211140
9480200734013
10153505043040
115a11265a938
1225900640b40
131162479331b
1476030a3116
153ed6685ab0
hex23bd9d1260

153505043040 has 96 divisors (see below), whose sum is σ = 495334629216. Its totient is φ = 39936266240.

The previous prime is 153505043009. The next prime is 153505043047. The reversal of 153505043040 is 40340505351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153505042989 and 153505043007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153505043047) 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, 3880347 + ... + 3919706.

It is an arithmetic number, because the mean of its divisors is an integer number (5159735721).

Almost surely, 2153505043040 is an apocalyptic number.

153505043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153505043040 is an abundant number, since it is smaller than the sum of its proper divisors (341829586176).

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

153505043040 is a wasteful number, since it uses less digits than its factorization.

153505043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800112 (or 7800104 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 153505043040 its reverse (40340505351), we get a palindrome (193845548391).

The spelling of 153505043040 in words is "one hundred fifty-three billion, five hundred five million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 7800053 15600106 23400159 31200212 39000265 46800318 62400424 78000530 93600636 117000795 124800848 156001060 187201272 234001590 249601696 312002120 319802173 374402544 468003180 624004240 639604346 748805088 936006360 959406519 1248008480 1279208692 1599010865 1872012720 1918813038 2558417384 3198021730 3744025440 3837626076 4797032595 5116834768 6396043460 7675252152 9594065190 10233669536 12792086920 15350504304 19188130380 25584173840 30701008608 38376260760 51168347680 76752521520 153505043040