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22140040144440 = 23351983597116159
BaseRepresentation
bin1010000100010111000010…
…01110100110011000111000
32220101120022110112210012010
411002023201032212120320
510400220300234110230
6115030554413245520
74443364556065311
oct502134116463070
986346273483163
1022140040144440
1170665a1521089
122596a7a7938a0
13c47a488245aa
145678257c9608
15285da73649b0
hex1422e13a6638

22140040144440 has 128 divisors (see below), whose sum is σ = 69917354496000. Its totient is φ = 5593158240768.

The previous prime is 22140040144427. The next prime is 22140040144451. The reversal of 22140040144440 is 4444104004122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22140040144398 and 22140040144407.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 190543081 + ... + 190659239.

It is an arithmetic number, because the mean of its divisors is an integer number (546229332000).

Almost surely, 222140040144440 is an apocalyptic number.

22140040144440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22140040144440 is an abundant number, since it is smaller than the sum of its proper divisors (47777314351560).

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

22140040144440 is a wasteful number, since it uses less digits than its factorization.

22140040144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199789 (or 199785 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 22140040144440 its reverse (4444104004122), we get a palindrome (26584144148562).

The spelling of 22140040144440 in words is "twenty-two trillion, one hundred forty billion, forty million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 83597 116159 167194 232318 250791 334388 348477 417985 464636 501582 580795 668776 696954 835970 929272 1003164 1161590 1253955 1393908 1588343 1671940 1742385 2006328 2207021 2323180 2507910 2787816 3176686 3343880 3484770 4414042 4646360 4765029 5015820 6353372 6621063 6969540 7941715 8828084 9530058 10031640 11035105 12706744 13242126 13939080 15883430 17656168 19060116 22070210 23825145 26484252 31766860 33105315 38120232 44140420 47650290 52968504 63533720 66210630 88280840 95300580 132421260 190601160 264842520 9710543923 19421087846 29131631769 38842175692 48552719615 58263263538 77684351384 97105439230 116526527076 145658158845 184500334537 194210878460 233053054152 291316317690 369000669074 388421756920 553501003611 582632635380 738001338148 922501672685 1107002007222 1165265270760 1476002676296 1845003345370 2214004014444 2767505018055 3690006690740 4428008028888 5535010036110 7380013381480 11070020072220 22140040144440