Search a number
-
+
4153500144332 = 22721129131507103
BaseRepresentation
bin111100011100001111111…
…001101001001011001100
3112201001220120021222011222
4330130033321221023030
51021022332014104312
612500031442502512
7606036414464600
oct74341771511314
915631816258158
104153500144332
111361542605a90
12570b86964a38
1324189a5650c6
1410505d8c9500
1573096ec4672
hex3c70fe692cc

4153500144332 has 144 divisors (see below), whose sum is σ = 9614935249920. Its totient is φ = 1550515075200.

The previous prime is 4153500144319. The next prime is 4153500144347. The reversal of 4153500144332 is 2334410053514.

It is a junction number, because it is equal to n+sod(n) for n = 4153500144292 and 4153500144301.

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 47 ways as a sum of consecutive naturals, for example, 7937093 + ... + 8444195.

It is an arithmetic number, because the mean of its divisors is an integer number (66770383680).

Almost surely, 24153500144332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153500144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807467624960).

4153500144332 is an abundant number, since it is smaller than the sum of its proper divisors (5461435105588).

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

4153500144332 is a wasteful number, since it uses less digits than its factorization.

4153500144332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507292 (or 507283 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 4153500144332 its reverse (2334410053514), we get a palindrome (6487910197846).

The spelling of 4153500144332 in words is "four trillion, one hundred fifty-three billion, five hundred million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 131 154 196 203 262 308 319 406 524 539 638 812 917 1078 1276 1421 1441 1834 2156 2233 2842 2882 3668 3799 4466 5684 5764 6419 7598 8932 10087 12838 15196 15631 20174 25676 26593 31262 40348 41789 53186 62524 70609 83578 106372 141218 167156 186151 282436 292523 372302 507103 585046 744604 1014206 1170092 2028412 2047661 3549721 4095322 5578133 7099442 8190644 11156266 14198884 14705987 22312532 24848047 29411974 39046931 49696094 58823948 66430493 78093862 99392188 102941909 132860986 156187724 161765857 205883818 265721972 273328517 323531714 411767636 465013451 546657034 647063428 720593363 730735423 930026902 1093314068 1132360999 1441186726 1461470846 1860053804 1926484297 2264721998 2882373452 2922941692 3255094157 3852968594 4529443996 5115147961 6510188314 7705937188 7926526993 10230295922 13020376628 13485390079 15853053986 20460591844 21191327267 26970780158 31706107972 35806035727 42382654534 53941560316 71612071454 84765309068 94397730553 143224142908 148339290869 188795461106 296678581738 377590922212 593357163476 1038375036083 2076750072166 4153500144332