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146221313524 = 2211135310745077
BaseRepresentation
bin1000100000101101111…
…0000010110111110100
3111222102102012100111121
42020023132002313310
54343430124013044
6151101222113324
713364333441416
oct2101336026764
9458372170447
10146221313524
1157015135070
122440927b844
1310a337682c0
1471119aa9b6
153c0bec3984
hex220b782df4

146221313524 has 96 divisors (see below), whose sum is σ = 309164397696. Its totient is φ = 59630138880.

The previous prime is 146221313431. The next prime is 146221313549. The reversal of 146221313524 is 425313122641.

It is a self number, because there is not a number n which added to its sum of digits gives 146221313524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221274 + ... + 3266350.

It is an arithmetic number, because the mean of its divisors is an integer number (3220462476).

Almost surely, 2146221313524 is an apocalyptic number.

It is an amenable number.

146221313524 is an abundant number, since it is smaller than the sum of its proper divisors (162943084172).

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

146221313524 is a wasteful number, since it uses less digits than its factorization.

146221313524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45265 (or 45263 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 146221313524 in words is "one hundred forty-six billion, two hundred twenty-one million, three hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 53 106 107 143 212 214 286 428 572 583 689 1166 1177 1378 1391 2332 2354 2756 2782 4708 5564 5671 7579 11342 15158 15301 22684 30316 30602 45077 61204 62381 73723 90154 124762 147446 180308 249524 294892 495847 586001 810953 991694 1172002 1621906 1983388 2344004 2389081 3243812 4778162 4823239 6446011 9556324 9646478 12892022 19292956 25784044 26279891 31058053 52559782 53055629 62116106 62702107 105119564 106111258 124232212 125404214 212222516 250808428 255631667 341638583 511263334 683277166 689723177 1022526668 1366554332 1379446354 2758892708 2811948337 3323211671 5623896674 6646423342 11247793348 13292846684 36555328381 73110656762 146221313524