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40144441343220 = 22335615112086093
BaseRepresentation
bin10010010000010110110110…
…01010100111110011110100
312021010202211010210111121000
421020023123022213303310
520230211303440440340
6221214033551323300
711312224452152364
oct1110133312476364
9167122733714530
1040144441343220
11118781866360a5
124604318220530
1319527b23367a6
149cb0039049a4
154993b07e1d30
hex2482db2a7cf4

40144441343220 has 96 divisors (see below), whose sum is σ = 124914132483840. Its totient is φ = 10703443075200.

The previous prime is 40144441343213. The next prime is 40144441343233. The reversal of 40144441343220 is 2234314444104.

40144441343220 is a `hidden beast` number, since 4 + 0 + 14 + 4 + 4 + 413 + 4 + 3 + 220 = 666.

40144441343220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401444413432202 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2721507 + ... + 9364586.

It is an arithmetic number, because the mean of its divisors is an integer number (1301188880040).

Almost surely, 240144441343220 is an apocalyptic number.

It is an amenable number.

40144441343220 is an abundant number, since it is smaller than the sum of its proper divisors (84769691140620).

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

40144441343220 is a wasteful number, since it uses less digits than its factorization.

40144441343220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092262 (or 12092254 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40144441343220 its reverse (2234314444104), we get a palindrome (42378755787324).

The spelling of 40144441343220 in words is "forty trillion, one hundred forty-four billion, four hundred forty-one million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6151 12302 18453 24604 30755 36906 55359 61510 73812 92265 110718 123020 166077 184530 221436 276795 332154 369060 553590 664308 830385 1107180 1660770 3321540 12086093 24172186 36258279 48344372 60430465 72516558 108774837 120860930 145033116 181291395 217549674 241721860 326324511 362582790 435099348 543874185 652649022 725165580 1087748370 1305298044 1631622555 2175496740 3263245110 6526490220 74341558043 148683116086 223024674129 297366232172 371707790215 446049348258 669074022387 743415580430 892098696516 1115123370645 1338148044774 1486831160860 2007222067161 2230246741290 2676296089548 3345370111935 4014444134322 4460493482580 6690740223870 8028888268644 10036110335805 13381480447740 20072220671610 40144441343220