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40011244243434 = 2346723396716361
BaseRepresentation
bin10010001100011110110000…
…00000000000100111101010
312020200001000101221202120000
421012033120000000213222
520221021012011242214
6221032524543243430
711266500634404402
oct1106173000004752
9166601011852500
1040011244243434
1111826745314642
1245a25448a9576
131943075c9a549
149c47a99a7802
15495bb6e54809
hex2463d80009ea

40011244243434 has 160 divisors (see below), whose sum is σ = 91483577767296. Its totient is φ = 13067307348480.

The previous prime is 40011244243409. The next prime is 40011244243447. The reversal of 40011244243434 is 43434244211004.

40011244243434 is a `hidden beast` number, since 40 + 0 + 11 + 244 + 24 + 343 + 4 = 666.

It is a super-2 number, since 2×400112442434342 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2445517414 + ... + 2445533774.

Almost surely, 240011244243434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40011244243434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45741788883648).

40011244243434 is an abundant number, since it is smaller than the sum of its proper divisors (51472333523862).

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

40011244243434 is a wasteful number, since it uses less digits than its factorization.

40011244243434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17642 (or 17633 counting only the distinct ones).

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

Adding to 40011244243434 its reverse (43434244211004), we get a palindrome (83445488454438).

The spelling of 40011244243434 in words is "forty trillion, eleven billion, two hundred forty-four million, two hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 233 402 466 603 699 967 1206 1398 1809 1934 2097 2901 3618 4194 5427 5802 6291 8703 10854 12582 15611 16361 17406 18873 26109 31222 32722 37746 46833 49083 52218 64789 78327 93666 98166 129578 140499 147249 156654 194367 225311 280998 294498 388734 421497 441747 450622 583101 675933 842994 883494 1096187 1166202 1264491 1325241 1351866 1749303 2027799 2192374 2528982 2650482 3288561 3498606 3812113 4055598 5247909 6083397 6577122 7624226 9865683 10495818 11436339 12166794 15095837 15821087 18250191 19731366 22872678 29597049 30191674 31642174 34309017 36500382 45287511 47463261 59194098 68618034 88791147 90575022 94926522 102927051 135862533 142389783 177582294 205854102 255411571 271725066 284779566 308781153 407587599 427169349 510823142 617562306 766234713 815175198 854338698 1060012829 1222762797 1281508047 1532469426 2120025658 2298704139 2445525594 2563016094 3180038487 3686313271 4597408278 6360076974 6896112417 7372626542 9540115461 11058939813 13792224834 19080230922 20688337251 22117879626 28620346383 33176819439 41376674502 57240692766 66353638878 85861039149 99530458317 171722078298 199060916634 246982989157 298591374951 493965978314 597182749902 740948967471 1481897934942 2222846902413 4445693804826 6668540707239 13337081414478 20005622121717 40011244243434