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424412023440 = 24352960978739
BaseRepresentation
bin1100010110100001110…
…11011000101010010000
31111120111000002122121010
412023100323120222100
523423143434222230
6522545554330520
742443216451006
oct6132073305220
91446430078533
10424412023440
11153aa0582989
126a306889a40
13310390c8822
1416782412a76
15b08eb759b0
hex62d0ed8a90

424412023440 has 80 divisors (see below), whose sum is σ = 1361045476800. Its totient is φ = 109273898496.

The previous prime is 424412023421. The next prime is 424412023523. The reversal of 424412023440 is 44320214424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424412023398 and 424412023407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30482410 + ... + 30496329.

It is an arithmetic number, because the mean of its divisors is an integer number (17013068460).

Almost surely, 2424412023440 is an apocalyptic number.

424412023440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424412023440 is an abundant number, since it is smaller than the sum of its proper divisors (936633453360).

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

424412023440 is a wasteful number, since it uses less digits than its factorization.

424412023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60978784 (or 60978778 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 424412023440 its reverse (44320214424), we get a palindrome (468732237864).

The spelling of 424412023440 in words is "four hundred twenty-four billion, four hundred twelve million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 60978739 121957478 182936217 243914956 304893695 365872434 487829912 609787390 731744868 914681085 975659824 1219574780 1463489736 1768383431 1829362170 2439149560 2926979472 3536766862 3658724340 4878299120 5305150293 7073533724 7317448680 8841917155 10610300586 14147067448 14634897360 17683834310 21220601172 26525751465 28294134896 35367668620 42441202344 53051502930 70735337240 84882404688 106103005860 141470674480 212206011720 424412023440