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146032904480 = 2552986730559
BaseRepresentation
bin1000100000000000111…
…1010100100100100000
3111221221021200011212212
42020000033110210200
54343033410420410
6151030411541252
713356555131051
oct2100017244440
9457837604785
10146032904480
1156a28849611
122437615a828
1310a0370ba68
1470d4964728
153bea6a8b05
hex22003d4920

146032904480 has 48 divisors (see below), whose sum is σ = 345025578240. Its totient is φ = 58409294592.

The previous prime is 146032904473. The next prime is 146032904497. The reversal of 146032904480 is 84409230641.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4763441 + ... + 4793999.

It is an arithmetic number, because the mean of its divisors is an integer number (7188032880).

Almost surely, 2146032904480 is an apocalyptic number.

146032904480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146032904480 is an abundant number, since it is smaller than the sum of its proper divisors (198992673760).

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

146032904480 is a wasteful number, since it uses less digits than its factorization.

146032904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60441 (or 60433 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 146032904480 in words is "one hundred forty-six billion, thirty-two million, nine hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 29867 30559 59734 61118 119468 122236 149335 152795 238936 244472 298670 305590 477872 488944 597340 611180 955744 977888 1194680 1222360 2389360 2444720 4778720 4889440 912705653 1825411306 3650822612 4563528265 7301645224 9127056530 14603290448 18254113060 29206580896 36508226120 73016452240 146032904480