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13414032016420 = 2257439722971593
BaseRepresentation
bin1100001100110011001010…
…0111010000010000100100
31202111100221221210012010011
43003030302213100100210
53224233414144011140
644310153215340004
72553063134565310
oct303146247202044
952440857705104
1013414032016420
11430194a408782
121607890221604
13763c26435349
14345357a36b40
15183de2dd9cea
hexc33329d0424

13414032016420 has 96 divisors (see below), whose sum is σ = 33281980478208. Its totient is φ = 4445830029312.

The previous prime is 13414032016403. The next prime is 13414032016423. The reversal of 13414032016420 is 2461023041431.

It is a super-2 number, since 2×134140320164202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13414032016423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10901857 + ... + 12069736.

It is an arithmetic number, because the mean of its divisors is an integer number (346687296648).

Almost surely, 213414032016420 is an apocalyptic number.

13414032016420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414032016420 is an abundant number, since it is smaller than the sum of its proper divisors (19867948461788).

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

13414032016420 is a wasteful number, since it uses less digits than its factorization.

13414032016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971749 (or 22971747 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13414032016420 its reverse (2461023041431), we get a palindrome (15875055057851).

The spelling of 13414032016420 in words is "thirteen trillion, four hundred fourteen billion, thirty-two million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 97 140 172 194 215 301 388 430 485 602 679 860 970 1204 1358 1505 1940 2716 3010 3395 4171 6020 6790 8342 13580 16684 20855 29197 41710 58394 83420 116788 145985 291970 583940 22971593 45943186 91886372 114857965 160801151 229715930 321602302 459431860 643204604 804005755 987778499 1608011510 1975556998 2228244521 3216023020 3951113996 4456489042 4938892495 6914449493 8912978084 9877784990 11141222605 13828898986 15597711647 19755569980 22282445210 27657797972 31195423294 34572247465 44564890420 62390846588 69144494930 77988558235 95814514403 138288989860 155977116470 191629028806 311954232940 383258057612 479072572015 670701600821 958145144030 1341403201642 1916290288060 2682806403284 3353508004105 6707016008210 13414032016420