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146075470452 = 223229437941189
BaseRepresentation
bin1000100000001011000…
…1101100101001110100
3111222001020202202102100
42020002301230221310
54343130310023302
6151034532142100
713360613004102
oct2100261545164
9458036682370
10146075470452
1156a4a881aaa
1224388467930
1310a0c493522
1470da484c72
153bee2b5d1c
hex2202c6ca74

146075470452 has 144 divisors (see below), whose sum is σ = 395819424000. Its totient is φ = 45337114368.

The previous prime is 146075470447. The next prime is 146075470507. The reversal of 146075470452 is 254074570641.

146075470452 is a `hidden beast` number, since 1 + 4 + 60 + 7 + 547 + 0 + 45 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146075470398 and 146075470407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3525874 + ... + 3567062.

It is an arithmetic number, because the mean of its divisors is an integer number (2748746000).

Almost surely, 2146075470452 is an apocalyptic number.

146075470452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146075470452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197909712000).

146075470452 is an abundant number, since it is smaller than the sum of its proper divisors (249743953548).

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

146075470452 is a wasteful number, since it uses less digits than its factorization.

146075470452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41350 (or 41345 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 146075470452 in words is "one hundred forty-six billion, seventy-five million, four hundred seventy thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 79 86 87 116 129 158 172 174 237 258 261 316 348 387 474 516 522 711 774 948 1044 1247 1422 1548 2291 2494 2844 3397 3741 4582 4988 6794 6873 7482 9164 10191 11223 13588 13746 14964 20382 20619 22446 27492 30573 40764 41189 41238 44892 61146 82378 82476 98513 122292 123567 164756 197026 247134 295539 370701 394052 494268 591078 741402 886617 1182156 1194481 1482804 1771127 1773234 2388962 3253931 3542254 3546468 3583443 4777924 5313381 6507862 7084508 7166886 9761793 10626762 10750329 13015724 14333772 15940143 19523586 21253524 21500658 29285379 31880286 39047172 43001316 51362683 58570758 63760572 94363999 102725366 117141516 139919033 154088049 188727998 205450732 279838066 283091997 308176098 377455996 419757099 462264147 559676132 566183994 616352196 839514198 849275991 924528294 1132367988 1259271297 1679028396 1698551982 1849056588 2518542594 3397103964 4057651957 5037085188 8115303914 12172955871 16230607828 24345911742 36518867613 48691823484 73037735226 146075470452