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102141041424 = 2433177388801
BaseRepresentation
bin101111100100000010…
…1001001101100010000
3100202122101101111221020
41133020011021230100
53133141101311144
6114531204555440
710244102345532
oct1371005115420
9322571344836
10102141041424
113a354a56224
12179669b2b80
13982a26a166
144d2d551852
1529cc1ac419
hex17c8149b10

102141041424 has 80 divisors (see below), whose sum is σ = 272731544064. Its totient is φ = 32905728000.

The previous prime is 102141041383. The next prime is 102141041449. The reversal of 102141041424 is 424140141201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102141041394 and 102141041403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105824 + ... + 1194624.

Almost surely, 2102141041424 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 102141041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136365772032).

102141041424 is an abundant number, since it is smaller than the sum of its proper divisors (170590502640).

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

102141041424 is a wasteful number, since it uses less digits than its factorization.

102141041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89616 (or 89610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102141041424 its reverse (424140141201), we get a palindrome (526281182625).

The spelling of 102141041424 in words is "one hundred two billion, one hundred forty-one million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 773 1488 1546 2319 3092 4638 6184 9276 12368 18552 23963 37104 47926 71889 88801 95852 143778 177602 191704 266403 287556 355204 383408 532806 575112 710408 1065612 1150224 1420816 2131224 2752831 4262448 5505662 8258493 11011324 16516986 22022648 33033972 44045296 66067944 68643173 132135888 137286346 205929519 274572692 411859038 549145384 823718076 1098290768 1647436152 2127938363 3294872304 4255876726 6383815089 8511753452 12767630178 17023506904 25535260356 34047013808 51070520712 102141041424