Search a number
-
+
5402404134024 = 2331779241695477
BaseRepresentation
bin100111010011101100001…
…1000010001110010001000
3201010110112211111011021220
41032213120120101302020
51202003110424242044
615253455153402040
71065211416315222
oct116473030216210
921113484434256
105402404134024
1117a3168325387
12733032269320
133025a1807b01
14149698d63412
15957e020b019
hex4e9d8611c88

5402404134024 has 128 divisors (see below), whose sum is σ = 14541610406400. Its totient is φ = 1666471772160.

The previous prime is 5402404133953. The next prime is 5402404134037. The reversal of 5402404134024 is 4204314042045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7420174 + ... + 8115650.

It is an arithmetic number, because the mean of its divisors is an integer number (113606331300).

Almost surely, 25402404134024 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 5402404134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270805203200).

5402404134024 is an abundant number, since it is smaller than the sum of its proper divisors (9139206272376).

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

5402404134024 is a wasteful number, since it uses less digits than its factorization.

5402404134024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695823 (or 695819 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 5402404134024 its reverse (4204314042045), we get a palindrome (9606718176069).

The spelling of 5402404134024 in words is "five trillion, four hundred two billion, four hundred four million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 241 316 408 474 482 632 723 948 964 1343 1446 1896 1928 2686 2892 4029 4097 5372 5784 8058 8194 10744 12291 16116 16388 19039 24582 32232 32776 38078 49164 57117 76156 98328 114234 152312 228468 323663 456936 647326 695477 970989 1294652 1390954 1941978 2086431 2589304 2781908 3883956 4172862 5563816 7767912 8345724 11823109 16691448 23646218 35469327 47292436 54942683 70938654 94584872 109885366 141877308 164828049 167609957 219770732 283754616 329656098 335219914 439541464 502829871 659312196 670439828 934025611 1005659742 1318624392 1340879656 1868051222 2011319484 2802076833 2849369269 3736102444 4022638968 5604153666 5698738538 7472204888 8548107807 11208307332 11397477076 13241186603 17096215614 22416614664 22794954152 26482373206 34192431228 39723559809 52964746412 68384862456 79447119618 105929492824 158894239236 225100172251 317788478472 450200344502 675300516753 900400689004 1350601033506 1800801378008 2701202067012 5402404134024