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40137011388705 = 35711162143374943
BaseRepresentation
bin10010010000001001000000…
…10011100110000100100001
312021010001122100000201002110
421020010200103212010201
520230101044403414310
6221210404413505533
711311542362452410
oct1110044023460441
9167101570021073
1040137011388705
1111875013617320
1246029a3aa22a9
131951b99c31bba
149ca8dac27477
154990c8398d20
hex2481204e6121

40137011388705 has 128 divisors (see below), whose sum is σ = 80149595406336. Its totient is φ = 16662810931200.

The previous prime is 40137011388703. The next prime is 40137011388791. The reversal of 40137011388705 is 50788311073104.

40137011388705 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40137011388705 - 21 = 40137011388703 is a prime.

It is a super-2 number, since 2×401370113887052 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40137011388701) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8119967464 + ... + 8119972406.

It is an arithmetic number, because the mean of its divisors is an integer number (626168714112).

Almost surely, 240137011388705 is an apocalyptic number.

It is an amenable number.

40137011388705 is a deficient number, since it is larger than the sum of its proper divisors (40012584017631).

40137011388705 is a wasteful number, since it uses less digits than its factorization.

40137011388705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927.

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 40137011388705 in words is "forty trillion, one hundred thirty-seven billion, eleven million, three hundred eighty-eight thousand, seven hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 1621 4337 4863 4943 8105 11347 13011 14829 17831 21685 24315 24715 30359 34041 34601 47707 53493 54373 56735 65055 74145 89155 91077 103803 124817 143121 151795 163119 170205 173005 238535 267465 271865 333949 374451 380611 455385 519015 624085 715605 815595 1001847 1141833 1669745 1872255 1903055 5009235 5709165 7030277 8012603 21090831 21437791 24037809 35151385 40063015 49211939 56088221 64313373 77333047 88138633 105454155 107188955 120189045 147635817 150064537 168264663 231999141 235815701 246059695 264415899 280441105 321566865 386665235 440693165 450193611 541331329 616970431 707447103 738179085 750322685 841323315 1159995705 1179078505 1322079495 1623993987 1650709907 1850911293 2250968055 2706656645 3084852155 3537235515 4952129721 8119969935 8253549535 9254556465 24760648605 34750659211 104251977633 173753296055 243254614477 382257251321 521259888165 729763843431 1146771753963 1216273072385 1911286256605 2675800759247 3648819217155 5733858769815 8027402277741 13379003796235 40137011388705