Search a number
-
+
3242123013400 = 2352593175915541
BaseRepresentation
bin101111001011011101100…
…101110010110100011000
3102110221111010102202022221
4233023131211302310120
5411104331442412100
610521224415553424
7453143554625245
oct57133545626430
912427433382287
103242123013400
11103aa81a12347
1244441852b874
131a69669b937b
14b2cc35025cc
1559505c6101a
hex2f2dd972d18

3242123013400 has 96 divisors (see below), whose sum is σ = 7555426243200. Its totient is φ = 1293842995200.

The previous prime is 3242123013391. The next prime is 3242123013421. The reversal of 3242123013400 is 43103212423.

It is a super-2 number, since 2×32421230134002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 208609630 + ... + 208625170.

It is an arithmetic number, because the mean of its divisors is an integer number (78702356700).

Almost surely, 23242123013400 is an apocalyptic number.

It is an amenable number.

3242123013400 is an abundant number, since it is smaller than the sum of its proper divisors (4313303229800).

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

3242123013400 is a wasteful number, since it uses less digits than its factorization.

3242123013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17909 (or 17900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3242123013400 its reverse (43103212423), we get a palindrome (3285226225823).

The spelling of 3242123013400 in words is "three trillion, two hundred forty-two billion, one hundred twenty-three million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 593 1186 1759 2372 2965 3518 4744 5930 7036 8795 11860 14072 14825 15541 17590 23720 29650 31082 35180 43975 59300 62164 70360 77705 87950 118600 124328 155410 175900 310820 351800 388525 621640 777050 1043087 1554100 2086174 3108200 4172348 5215435 8344696 9215813 10430870 18431626 20861740 26077175 27336619 36863252 41723480 46079065 52154350 54673238 73726504 92158130 104308700 109346476 136683095 184316260 208617400 218692952 230395325 273366190 368632520 460790650 546732380 683415475 921581300 1093464760 1366830950 1843162600 2733661900 5467323800 16210615067 32421230134 64842460268 81053075335 129684920536 162106150670 324212301340 405265376675 648424602680 810530753350 1621061506700 3242123013400