Search a number
-
+
75143408103400 = 23527134128758687
BaseRepresentation
bin10001000101011110110000…
…001001011010111111101000
3100212001122021022101100220211
4101011132300021122333220
534322122144433302100
6423452223301230504
721553634463122050
oct2105366011327750
9325048238340824
1075143408103400
1121a4115a9872aa
128517367402434
1332c0cba762290
14147ad63316560
158a49bc2421ba
hex4457b025afe8

75143408103400 has 96 divisors (see below), whose sum is σ = 215025752471040. Its totient is φ = 23781650031360.

The previous prime is 75143408103383. The next prime is 75143408103419. The reversal of 75143408103400 is 430180434157.

75143408103400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2064361144 + ... + 2064397543.

It is an arithmetic number, because the mean of its divisors is an integer number (2239851588240).

Almost surely, 275143408103400 is an apocalyptic number.

75143408103400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75143408103400 is an abundant number, since it is smaller than the sum of its proper divisors (139882344367640).

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

75143408103400 is a wasteful number, since it uses less digits than its factorization.

75143408103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128758723 (or 4128758714 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

Adding to 75143408103400 its reverse (430180434157), we get a palindrome (75573588537557).

The spelling of 75143408103400 in words is "seventy-five trillion, one hundred forty-three billion, four hundred eight million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 4128758687 8257517374 16515034748 20643793435 28901310809 33030069496 41287586870 53673862931 57802621618 82575173740 103218967175 107347725862 115605243236 144506554045 165150347480 206437934350 214695451724 231210486472 268369314655 289013108090 375717040517 412875868700 429390903448 536738629310 578026216180 722532770225 751434081034 825751737400 1073477258620 1156052432360 1341846573275 1445065540450 1502868162068 1878585202585 2146954517240 2683693146550 2890131080900 3005736324136 3757170405170 5367386293100 5780262161800 7514340810340 9392926012925 10734772586200 15028681620680 18785852025850 37571704051700 75143408103400