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146043943272 = 23332361947491
BaseRepresentation
bin1000100000000011100…
…1011011100101101000
3111221222001110000021000
42020000321123211220
54343044222141042
6151031444315000
713360051015113
oct2100071334550
9457861400230
10146043943272
1156a33aa9187
12243799a2a60
1310a05aa53a6
1470d61d957a
153beb63974c
hex2200e5b968

146043943272 has 128 divisors (see below), whose sum is σ = 424008576000. Its totient is φ = 46488530880.

The previous prime is 146043943271. The next prime is 146043943291. The reversal of 146043943272 is 272349340641.

146043943272 is a `hidden beast` number, since 1 + 4 + 604 + 3 + 9 + 4 + 32 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (146043943271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3051447 + ... + 3098937.

It is an arithmetic number, because the mean of its divisors is an integer number (3312567000).

Almost surely, 2146043943272 is an apocalyptic number.

146043943272 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 146043943272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212004288000).

146043943272 is an abundant number, since it is smaller than the sum of its proper divisors (277964632728).

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

146043943272 is a wasteful number, since it uses less digits than its factorization.

146043943272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48148 (or 48138 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 146043943272 in words is "one hundred forty-six billion, forty-three million, nine hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 619 621 828 1238 1242 1656 1857 2476 2484 3714 4952 4968 5571 7428 11142 14237 14856 16713 22284 28474 33426 42711 44568 47491 56948 66852 85422 94982 113896 128133 133704 142473 170844 189964 256266 284946 341688 379928 384399 427419 512532 569892 768798 854838 1025064 1092293 1139784 1282257 1537596 1709676 2184586 2564514 3075192 3276879 3419352 4369172 5129028 6553758 8738344 9830637 10258056 13107516 19661274 26215032 29396929 29491911 39322548 58793858 58983822 78645096 88190787 117587716 117967644 176381574 235175432 235935288 264572361 352763148 529144722 676129367 705526296 793717083 1058289444 1352258734 1587434166 2028388101 2116578888 2704517468 3174868332 4056776202 5409034936 6085164303 6349736664 8113552404 12170328606 16227104808 18255492909 24340657212 36510985818 48681314424 73021971636 146043943272