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424250315104 = 257211198712379
BaseRepresentation
bin1100010110001110100…
…10100001000101100000
31111120001201211000110111
412023013102201011200
523422331040040404
6522521540341104
742436214115100
oct6130722410540
91446051730414
10424250315104
11153a18274030
126a2806a4794
133101175a615
1416768b5b200
15b080882104
hex62c74a1160

424250315104 has 144 divisors (see below), whose sum is σ = 1060556172480. Its totient is φ = 165195797760.

The previous prime is 424250315081. The next prime is 424250315117. The reversal of 424250315104 is 401513052424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34265587 + ... + 34277965.

It is an arithmetic number, because the mean of its divisors is an integer number (7364973420).

Almost surely, 2424250315104 is an apocalyptic number.

424250315104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424250315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530278086240).

424250315104 is an abundant number, since it is smaller than the sum of its proper divisors (636305857376).

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

424250315104 is a wasteful number, since it uses less digits than its factorization.

424250315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14401 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 424250315104 its reverse (401513052424), we get a palindrome (825763367528).

The spelling of 424250315104 in words is "four hundred twenty-four billion, two hundred fifty million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 1987 2156 2464 3974 4312 7948 8624 12379 13909 15896 17248 21857 24758 27818 31792 43714 49516 55636 63584 86653 87428 97363 99032 111272 136169 152999 173306 174856 194726 198064 222544 272338 305998 346612 349712 389452 396128 445088 544676 606571 611996 693224 699424 778904 953183 1070993 1089352 1213142 1223992 1386448 1557808 1906366 2141986 2178704 2426284 2447984 2772896 3115616 3812732 4283972 4357408 4852568 4895968 6672281 7625464 8567944 9705136 13344562 15250928 17135888 19410272 24597073 26689124 30501856 34271776 49194146 53378248 98388292 106756496 172179511 196776584 213512992 270567803 344359022 393553168 541135606 688718044 787106336 1082271212 1205256577 1377436088 1893974621 2164542424 2410513154 2754872176 3787949242 4329084848 4821026308 5509744352 7575898484 8658169696 9642052616 13257822347 15151796968 19284105232 26515644694 30303593936 38568210464 53031289388 60607187872 106062578776 212125157552 424250315104