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3250328385144 = 2333715143955217
BaseRepresentation
bin101111010011000110101…
…010110011011001111000
3102111201122222021211022010
4233103012222303121320
5411223133031311034
610525102533325520
7453554111264661
oct57230652633170
912451588254263
103250328385144
111043502701605
12445b284968a0
131a7673947819
14b346118a368
15598362c73e9
hex2f4c6ab3678

3250328385144 has 128 divisors (see below), whose sum is σ = 8419994035200. Its totient is φ = 1044775065600.

The previous prime is 3250328385131. The next prime is 3250328385151. The reversal of 3250328385144 is 4415838230523.

It is a super-2 number, since 2×32503283851442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3250328385093 and 3250328385102.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 58837024 + ... + 58892240.

It is an arithmetic number, because the mean of its divisors is an integer number (65781203400).

Almost surely, 23250328385144 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 3250328385144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209997017600).

3250328385144 is an abundant number, since it is smaller than the sum of its proper divisors (5169665650056).

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

3250328385144 is a wasteful number, since it uses less digits than its factorization.

3250328385144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55853 (or 55849 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 3250328385144 in words is "three trillion, two hundred fifty billion, three hundred twenty-eight million, three hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 151 222 296 302 439 444 453 604 878 888 906 1208 1317 1756 1812 2634 3512 3624 5268 5587 10536 11174 16243 16761 22348 32486 33522 44696 48729 55217 64972 66289 67044 97458 110434 129944 132578 134088 165651 194916 198867 220868 265156 331302 389832 397734 441736 530312 662604 795468 1325208 1590936 2043029 2452693 4086058 4905386 6129087 7358079 8172116 8337767 9810772 12258174 14716158 16344232 16675534 19621544 24240263 24516348 25013301 29432316 33351068 48480526 49032696 50026602 58864632 66702136 72720789 96961052 100053204 145441578 193922104 200106408 290883156 308497379 581766312 616994758 896889731 925492137 1233989516 1793779462 1850984274 2467979032 2690669193 3587558924 3660279713 3701968548 5381338386 7175117848 7320559426 7403937096 10762676772 10980839139 14641118852 21525353544 21961678278 29282237704 43923356556 87846713112 135430349381 270860698762 406291048143 541721397524 812582096286 1083442795048 1625164192572 3250328385144