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40258221444 = 2232734375821
BaseRepresentation
bin100101011111100100…
…111011010110000100
310211220122221112201200
4211133210323112010
51124422101041234
630254441222500
72623431144000
oct453744732604
9124818845650
1040258221444
11160897976a1
127976491a30
133a4771310c
141d3c9c7700
1510a94e1d99
hex95f93b584

40258221444 has 144 divisors (see below), whose sum is σ = 121436515200. Its totient is φ = 11234704320.

The previous prime is 40258221431. The next prime is 40258221469. The reversal of 40258221444 is 44412285204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40258221399 and 40258221408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493054 + ... + 568874.

Almost surely, 240258221444 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 40258221444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60718257600).

40258221444 is an abundant number, since it is smaller than the sum of its proper divisors (81178293756).

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

40258221444 is a wasteful number, since it uses less digits than its factorization.

40258221444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75895 (or 75876 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 40258221444 in words is "forty billion, two hundred fifty-eight million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 63 84 86 98 126 129 147 172 196 252 258 294 301 343 387 441 516 588 602 686 774 882 903 1029 1204 1372 1548 1764 1806 2058 2107 2709 3087 3612 4116 4214 5418 6174 6321 8428 10836 12348 12642 14749 18963 25284 29498 37926 44247 58996 75821 75852 88494 132741 151642 176988 227463 265482 303284 454926 530747 530964 682389 909852 1061494 1364778 1592241 2122988 2729556 3184482 3260303 3715229 4776723 6368964 6520606 7430458 9553446 9780909 11145687 13041212 14860916 19106892 19561818 22291374 22822121 26006603 29342727 33437061 39123636 44582748 45644242 52013206 58685454 66874122 68466363 78019809 91288484 104026412 117370908 133748244 136932726 156039618 159754847 205399089 234059427 273865452 312079236 319509694 410798178 468118854 479264541 639019388 821596356 936237708 958529082 1118283929 1437793623 1917058164 2236567858 2875587246 3354851787 4473135716 5751174492 6709703574 10064555361 13419407148 20129110722 40258221444