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45730269240 = 23354636731223
BaseRepresentation
bin101010100101101111…
…001000100000111000
311101001000120101010120
4222211233020200320
51222123422103430
633001434213240
73206144606055
oct524557104070
9141030511116
1045730269240
11184375aa147
128a42b84220
13440a2bac16
1422db64602c
1512c9ade610
hexaa5bc8838

45730269240 has 128 divisors (see below), whose sum is σ = 137803991040. Its totient is φ = 12140384256.

The previous prime is 45730269209. The next prime is 45730269253. The reversal of 45730269240 is 4296203754.

It is a junction number, because it is equal to n+sod(n) for n = 45730269192 and 45730269201.

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, 37391269 + ... + 37392491.

It is an arithmetic number, because the mean of its divisors is an integer number (1076593680).

Almost surely, 245730269240 is an apocalyptic number.

45730269240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45730269240 is an abundant number, since it is smaller than the sum of its proper divisors (92073721800).

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

45730269240 is a wasteful number, since it uses less digits than its factorization.

45730269240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 45730269240 in words is "forty-five billion, seven hundred thirty million, two hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 463 673 926 1223 1346 1389 1852 2019 2315 2446 2692 2778 3365 3669 3704 4038 4630 4892 5384 5556 6115 6730 6945 7338 8076 9260 9784 10095 11112 12230 13460 13890 14676 16152 18345 18520 20190 24460 26920 27780 29352 36690 40380 48920 55560 73380 80760 146760 311599 566249 623198 823079 934797 1132498 1246396 1557995 1646158 1698747 1869594 2264996 2469237 2492792 2831245 3115990 3292316 3397494 3739188 4115395 4529992 4673985 4938474 5662490 6231980 6584632 6794988 7478376 8230790 8493735 9347970 9876948 11324980 12346185 12463960 13589976 16461580 16987470 18695940 19753896 22649960 24692370 32923160 33974940 37391880 49384740 67949880 98769480 381085577 762171154 1143256731 1524342308 1905427885 2286513462 3048684616 3810855770 4573026924 5716283655 7621711540 9146053848 11432567310 15243423080 22865134620 45730269240