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146266031424 = 26329117122433
BaseRepresentation
bin1000100000111000100…
…0101000010101000000
3111222112112100020221010
42020032020220111000
54344023101001144
6151105500400520
713365415516332
oct2101610502500
9458475306833
10146266031424
11570383a8307
1224420246140
1310a3cac43b6
1471178cb452
153c10da85b9
hex220e228540

146266031424 has 112 divisors (see below), whose sum is σ = 400699955520. Its totient is φ = 47031828480.

The previous prime is 146266031423. The next prime is 146266031441. The reversal of 146266031424 is 424130662641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146266031423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6508912 + ... + 6531344.

Almost surely, 2146266031424 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 146266031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200349977760).

146266031424 is an abundant number, since it is smaller than the sum of its proper divisors (254433924096).

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

146266031424 is a wasteful number, since it uses less digits than its factorization.

146266031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23648 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 146266031424 in words is "one hundred forty-six billion, two hundred sixty-six million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1171 1392 1856 2342 2784 3513 4684 5568 7026 9368 14052 18736 22433 28104 33959 37472 44866 56208 67299 67918 74944 89732 101877 112416 134598 135836 179464 203754 224832 269196 271672 358928 407508 538392 543344 650557 717856 815016 1076784 1086688 1301114 1435712 1630032 1951671 2153568 2173376 2602228 3260064 3903342 4307136 5204456 6520128 7806684 10408912 15613368 20817824 26269043 31226736 41635648 52538086 62453472 78807129 105076172 124906944 157614258 210152344 315228516 420304688 630457032 761802247 840609376 1260914064 1523604494 1681218752 2285406741 2521828128 3047208988 4570813482 5043656256 6094417976 9141626964 12188835952 18283253928 24377671904 36566507856 48755343808 73133015712 146266031424