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10334422142424 = 2332376959557449
BaseRepresentation
bin1001011001100010101110…
…0011111000110111011000
31100120221221122111021221100
42112120223203320313120
52323304344032024144
633551322404111400
72114431420555212
oct226305343706730
940527848437840
1010334422142424
113324892977406
1211aaa69095560
1359c6bb565833
1427a28db195b2
1512dc4e58a269
hex9662b8f8dd8

10334422142424 has 96 divisors (see below), whose sum is σ = 28749703320000. Its totient is φ = 3351216830976.

The previous prime is 10334422142377. The next prime is 10334422142441. The reversal of 10334422142424 is 42424122443301.

10334422142424 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 4 + 221 + 4 + 2 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18260052 + ... + 18817500.

It is an arithmetic number, because the mean of its divisors is an integer number (299476076250).

Almost surely, 210334422142424 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 10334422142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374851660000).

10334422142424 is an abundant number, since it is smaller than the sum of its proper divisors (18415281177576).

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

10334422142424 is a wasteful number, since it uses less digits than its factorization.

10334422142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564457 (or 564450 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10334422142424 its reverse (42424122443301), we get a palindrome (52758544585725).

The spelling of 10334422142424 in words is "ten trillion, three hundred thirty-four billion, four hundred twenty-two million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 6959 13918 20877 27836 41754 55672 62631 83508 125262 167016 250524 257483 501048 514966 557449 772449 1029932 1114898 1544898 1672347 2059864 2229796 2317347 3089796 3344694 4459592 4634694 5017041 6179592 6689388 9269388 10034082 13378776 18538776 20068164 20625613 40136328 41251226 61876839 82502452 123753678 165004904 185630517 247507356 371261034 495014712 742522068 1485044136 3879287591 7758575182 11637862773 15517150364 23275725546 31034300728 34913588319 46551451092 69827176638 93102902184 139654353276 143533640867 279308706552 287067281734 430600922601 574134563468 861201845202 1148269126936 1291802767803 1722403690404 2583605535606 3444807380808 5167211071212 10334422142424