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424134500140 = 2251397131128377
BaseRepresentation
bin1100010110000000110…
…00101101111100101100
31111112202122220000012101
412023000120231330230
523422111413001030
6522502242144444
742433306524121
oct6130030557454
91445678800171
10424134500140
1115396896058a
126a249952124
1330cc376a560
1416757610748
15b0756067ca
hex62c062df2c

424134500140 has 96 divisors (see below), whose sum is σ = 976490311104. Its totient is φ = 153804718080.

The previous prime is 424134500059. The next prime is 424134500149. The reversal of 424134500140 is 41005431424.

It is a junction number, because it is equal to n+sod(n) for n = 424134500099 and 424134500108.

It is not an unprimeable number, because it can be changed into a prime (424134500149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3239632 + ... + 3368008.

It is an arithmetic number, because the mean of its divisors is an integer number (10171774074).

Almost surely, 2424134500140 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 424134500140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488245155552).

424134500140 is an abundant number, since it is smaller than the sum of its proper divisors (552355810964).

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

424134500140 is a wasteful number, since it uses less digits than its factorization.

424134500140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128627 (or 128625 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 424134500140 its reverse (41005431424), we get a palindrome (465139931564).

The spelling of 424134500140 in words is "four hundred twenty-four billion, one hundred thirty-four million, five hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 131 194 260 262 388 485 524 655 970 1261 1310 1703 1940 2522 2620 3406 5044 6305 6812 8515 12610 12707 17030 25220 25414 34060 50828 63535 127070 128377 165191 254140 256754 330382 513508 641885 660764 825955 1283770 1651910 1668901 2567540 3303820 3337802 6675604 8344505 12452569 16689010 16817387 24905138 33378020 33634774 49810276 62262845 67269548 84086935 124525690 161883397 168173870 218626031 249051380 323766794 336347740 437252062 647533588 809416985 874504124 1093130155 1618833970 1631286539 2186260310 3237667940 3262573078 4372520620 6525146156 8156432695 16312865390 21206725007 32625730780 42413450014 84826900028 106033625035 212067250070 424134500140