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105402034424 = 231719163251997
BaseRepresentation
bin110001000101001110…
…0110110100011111000
3101002001122112010100202
41202022130312203320
53211330410100144
6120230535221332
710420650340001
oct1421234664370
9332048463322
10105402034424
1140778778565
1218516b17848
139c29a4290b
14515c6961a8
152b1d60764e
hex188a7368f8

105402034424 has 128 divisors (see below), whose sum is σ = 222724857600. Its totient is φ = 46469376000.

The previous prime is 105402034379. The next prime is 105402034447. The reversal of 105402034424 is 424430204501.

It is a super-2 number, since 2×1054020344242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 105718694 + ... + 105719690.

It is an arithmetic number, because the mean of its divisors is an integer number (1740037950).

Almost surely, 2105402034424 is an apocalyptic number.

It is an amenable number.

105402034424 is an abundant number, since it is smaller than the sum of its proper divisors (117322823176).

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

105402034424 is a wasteful number, since it uses less digits than its factorization.

105402034424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 105402034424 its reverse (424430204501), we get a palindrome (529832238925).

The spelling of 105402034424 in words is "one hundred five billion, four hundred two million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 163 251 323 326 502 646 652 997 1004 1292 1304 1994 2008 2584 2771 3097 3988 4267 4769 5542 6194 7976 8534 9538 11084 12388 16949 17068 18943 19076 22168 24776 33898 34136 37886 38152 40913 52649 67796 75772 81073 81826 105298 135592 151544 162146 162511 163652 210596 250247 322031 324292 325022 327304 421192 500494 644062 648584 650044 695521 777347 1000988 1288124 1300088 1391042 1554694 2001976 2576248 2762687 2782084 3087709 3109388 4254199 4754693 5525374 5564168 6175418 6218776 8508398 9509386 11050748 12350836 13214899 17016796 19018772 22101496 24701672 26429798 34033592 38037544 40790261 52491053 52859596 80829781 81580522 104982106 105719192 161659562 163161044 209964212 323319124 326322088 419928424 646638248 693434437 775014959 1386868874 1550029918 2773737748 3100059836 5547475496 6200119672 13175254303 26350508606 52701017212 105402034424