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102041401344 = 211337448873
BaseRepresentation
bin101111100001000100…
…1000011100000000000
3100202101102220021102220
41133002021003200000
53132440044320334
6114513245211040
710241452412631
oct1370211034000
9322342807386
10102041401344
113a303790153
1217939560a80
13981272142c
144d20215888
1529c3579449
hex17c2243800

102041401344 has 96 divisors (see below), whose sum is σ = 279397132560. Its totient is φ = 33094434816.

The previous prime is 102041401309. The next prime is 102041401367. The reversal of 102041401344 is 443104140201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2892 + ... + 451764.

Almost surely, 2102041401344 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 102041401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139698566280).

102041401344 is an abundant number, since it is smaller than the sum of its proper divisors (177355731216).

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

102041401344 is an equidigital number, since it uses as much as digits as its factorization.

102041401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448935 (or 448915 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102041401344 its reverse (443104140201), we get a palindrome (545145541545).

The spelling of 102041401344 in words is "one hundred two billion, forty-one million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4736 6144 7104 9472 14208 18944 28416 37888 56832 75776 113664 227328 448873 897746 1346619 1795492 2693238 3590984 5386476 7181968 10772952 14363936 16608301 21545904 28727872 33216602 43091808 49824903 57455744 66433204 86183616 99649806 114911488 132866408 172367232 199299612 229822976 265732816 344734464 398599224 459645952 531465632 689468928 797198448 919291904 1062931264 1378937856 1594396896 2125862528 2757875712 3188793792 4251725056 6377587584 8503450112 12755175168 17006900224 25510350336 34013800448 51020700672 102041401344