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147341900928 = 2732112278011
BaseRepresentation
bin1000100100111001000…
…0101111110010000000
3112002022111210002102210
42021032100233302000
54403224011312203
6151404332142120
713434161331165
oct2111620576200
9462274702383
10147341900928
115753a730a62
1224680607940
1310b81976881
1471ba74806c
153c75574803
hex224e42fc80

147341900928 has 128 divisors (see below), whose sum is σ = 395013392640. Its totient is φ = 48659788800.

The previous prime is 147341900921. The next prime is 147341900963. The reversal of 147341900928 is 829009143741.

147341900928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1473419009282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (147341900921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18388443 + ... + 18396453.

It is an arithmetic number, because the mean of its divisors is an integer number (3086042130).

Almost surely, 2147341900928 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 147341900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197506696320).

147341900928 is an abundant number, since it is smaller than the sum of its proper divisors (247671491712).

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

147341900928 is a wasteful number, since it uses less digits than its factorization.

147341900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 147341900928 in words is "one hundred forty-seven billion, three hundred forty-one million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 227 384 422 454 633 681 844 908 1266 1362 1688 1816 2532 2724 3376 3632 5064 5448 6752 7264 8011 10128 10896 13504 14528 16022 20256 21792 24033 27008 29056 32044 40512 43584 47897 48066 64088 81024 87168 95794 96132 128176 143691 191588 192264 256352 287382 383176 384528 512704 574764 766352 769056 1025408 1149528 1532704 1538112 1690321 1818497 2299056 3065408 3076224 3380642 3636994 4598112 5070963 5455491 6130816 6761284 7273988 9196224 10141926 10910982 13522568 14547976 18392448 20283852 21821964 27045136 29095952 40567704 43643928 54090272 58191904 81135408 87287856 108180544 116383808 162270816 174575712 216361088 232767616 324541632 349151424 383702867 649083264 698302848 767405734 1151108601 1534811468 2302217202 3069622936 4604434404 6139245872 9208868808 12278491744 18417737616 24556983488 36835475232 49113966976 73670950464 147341900928