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40074106600152 = 2334311571134819
BaseRepresentation
bin10010001110010011110101…
…11000110111101011011000
312020220001021101120100120000
421013021322320313223120
520223033232242201102
6221121442421533000
711304154501541412
oct1107117270675330
9166801241510500
1040074106600152
111185037349a669
1245b2769274160
131948c83748521
149c78506739b2
15497645b0d01c
hex24727ae37ad8

40074106600152 has 160 divisors (see below), whose sum is σ = 112628471155200. Its totient is φ = 13312369828800.

The previous prime is 40074106600147. The next prime is 40074106600153. The reversal of 40074106600152 is 25100660147004.

40074106600152 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 41 + 0 + 6 + 600 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40074106600153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1150908999 + ... + 1150943817.

It is an arithmetic number, because the mean of its divisors is an integer number (703927944720).

Almost surely, 240074106600152 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 40074106600152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56314235577600).

40074106600152 is an abundant number, since it is smaller than the sum of its proper divisors (72554364555048).

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

40074106600152 is a wasteful number, since it uses less digits than its factorization.

40074106600152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40859 (or 40846 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 40074106600152 its reverse (25100660147004), we get a palindrome (65174766747156).

The spelling of 40074106600152 in words is "forty trillion, seventy-four billion, one hundred six million, six hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 311 324 622 648 933 1244 1866 2488 2799 3732 5598 5711 7464 8397 11196 11422 16794 17133 22392 22844 25191 33588 34266 34819 45688 50382 51399 67176 68532 69638 100764 102798 104457 137064 139276 154197 201528 205596 208914 278552 308394 313371 411192 417828 462591 616788 626742 835656 925182 940113 1233576 1253484 1776121 1850364 1880226 2506968 2820339 3552242 3700728 3760452 5328363 5640678 7104484 7520904 10656726 10828709 11281356 14208968 15985089 21313452 21657418 22562712 31970178 32486127 42626904 43314836 47955267 63940356 64972254 86629672 95910534 97458381 127880712 129944508 143865801 191821068 194916762 198851309 259889016 287731602 292375143 383642136 389833524 397702618 575463204 584750286 596553927 779667048 795405236 877125429 1150926408 1169500572 1193107854 1590810472 1754250858 1789661781 2339001144 2386215708 3508501716 3579323562 4772431416 5368985343 7017003432 7158647124 10737970686 14317294248 16106956029 21475941372 32213912058 42951882744 61842757099 64427824116 123685514198 128855648232 185528271297 247371028396 371056542594 494742056792 556584813891 742113085188 1113169627782 1484226170376 1669754441673 2226339255564 3339508883346 4452678511128 5009263325019 6679017766692 10018526650038 13358035533384 20037053300076 40074106600152