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140032103024 = 24118916075563
BaseRepresentation
bin1000001001101010010…
…0000101001001110000
3111101110002002212211002
42002122210011021300
54243241204244044
6144155125541132
713055061144062
oct2023244051160
9441402085732
10140032103024
1154429520670
12231805747a8
1310288422278
146ac59c7732
15399896374e
hex209a905270

140032103024 has 80 divisors (see below), whose sum is σ = 299542613760. Its totient is φ = 62885306880.

The previous prime is 140032102961. The next prime is 140032103033. The reversal of 140032103024 is 420301230041.

It is a junction number, because it is equal to n+sod(n) for n = 140032102987 and 140032103005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25169267 + ... + 25174829.

It is an arithmetic number, because the mean of its divisors is an integer number (3744282672).

Almost surely, 2140032103024 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 140032103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149771306880).

140032103024 is an abundant number, since it is smaller than the sum of its proper divisors (159510510736).

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

140032103024 is a wasteful number, since it uses less digits than its factorization.

140032103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140032103024 its reverse (420301230041), we get a palindrome (560333333065).

The spelling of 140032103024 in words is "one hundred forty billion, thirty-two million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 712 979 1424 1607 1958 3214 3916 5563 6428 7832 11126 12856 15664 17677 22252 25712 35354 44504 61193 70708 89008 122386 141416 143023 244772 282832 286046 489544 495107 572092 979088 990214 1144184 1573253 1980428 2288368 3146506 3960856 5446177 6293012 7921712 8939741 10892354 12586024 17879482 21784708 25172048 35758964 43569416 71517928 87138832 98337151 143035856 196674302 393348604 786697208 795636949 1573394416 1591273898 3182547796 6365095592 8752006439 12730191184 17504012878 35008025756 70016051512 140032103024