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40300302024 = 23323761924439
BaseRepresentation
bin100101100010000101…
…011100111011001000
310212000121010110102200
4211202011130323020
51130013334131044
630302543200200
72624451625623
oct454205347310
9125017113380
1040300302024
1116100519434
1279885a6060
133a53357978
141d4441cdba
1510ad055369
hex96215cec8

40300302024 has 96 divisors (see below), whose sum is σ = 112282248000. Its totient is φ = 13048718976.

The previous prime is 40300301999. The next prime is 40300302073. The reversal of 40300302024 is 42020300304.

40300302024 is a `hidden beast` number, since 40 + 300 + 302 + 0 + 24 = 666.

It is a super-2 number, since 2×403003020242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40300301988 and 40300302006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636797 + ... + 1661235.

It is an arithmetic number, because the mean of its divisors is an integer number (1169606750).

Almost surely, 240300302024 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 40300302024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56141124000).

40300302024 is an abundant number, since it is smaller than the sum of its proper divisors (71981945976).

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

40300302024 is a wasteful number, since it uses less digits than its factorization.

40300302024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25107 (or 25100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 40300302024 its reverse (42020300304), we get a palindrome (82320602328).

The spelling of 40300302024 in words is "forty billion, three hundred million, three hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 619 666 888 1238 1332 1857 2476 2664 3714 4952 5571 7428 11142 14856 22284 22903 24439 44568 45806 48878 68709 73317 91612 97756 137418 146634 183224 195512 206127 219951 274836 293268 412254 439902 549672 586536 824508 879804 904243 1649016 1759608 1808486 2712729 3616972 5425458 7233944 8138187 10850916 15127741 16276374 21701832 30255482 32552748 45383223 60510964 65105496 90766446 121021928 136149669 181532892 272299338 363065784 544598676 559726417 1089197352 1119452834 1679179251 2238905668 3358358502 4477811336 5037537753 6716717004 10075075506 13433434008 20150151012 40300302024