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40026777354330 = 235134323310243813
BaseRepresentation
bin10010001100111011101011…
…10110001000000001011010
312020201112002221020112220120
421012131311312020001122
520221244320000314310
6221044014143534110
711300560566564114
oct1106356566100132
9166645087215816
1040026777354330
1111832296358778
1245a555a8ba336
1319446800c2620
149c54409223b4
154962c5972b70
hex246775d8805a

40026777354330 has 128 divisors (see below), whose sum is σ = 106314071415552. Its totient is φ = 9582307596288.

The previous prime is 40026777354307. The next prime is 40026777354391. The reversal of 40026777354330 is 3345377762004.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214497 + ... + 9029316.

It is an arithmetic number, because the mean of its divisors is an integer number (830578682934).

Almost surely, 240026777354330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40026777354330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53157035707776).

40026777354330 is an abundant number, since it is smaller than the sum of its proper divisors (66287294061222).

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

40026777354330 is a wasteful number, since it uses less digits than its factorization.

40026777354330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244112.

The product of its (nonzero) digits is 8890560, while the sum is 51.

The spelling of 40026777354330 in words is "forty trillion, twenty-six billion, seven hundred seventy-seven million, three hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 233 258 390 430 466 559 645 699 1118 1165 1290 1398 1677 2330 2795 3029 3354 3495 5590 6058 6990 8385 9087 10019 15145 16770 18174 20038 30057 30290 45435 50095 60114 90870 100190 130247 150285 260494 300570 390741 651235 781482 1302470 1953705 3907410 10243813 20487626 30731439 51219065 61462878 102438130 133169569 153657195 266339138 307314390 399508707 440483959 665847845 799017414 880967918 1321451877 1331695690 1997543535 2202419795 2386808429 2642903754 3995087070 4404839590 4773616858 5726291467 6607259385 7160425287 11452582934 11934042145 13214518770 14320850574 17178874401 23868084290 28631457335 31028509577 34357748802 35802126435 57262914670 62057019154 71604252870 85894372005 93085528731 102632762447 155142547885 171788744010 186171057462 205265524894 307898287341 310285095770 465427643655 513163812235 615796574682 930855287310 1026327624470 1334225911811 1539491436705 2668451823622 3078982873410 4002677735433 6671129559055 8005355470866 13342259118110 20013388677165 40026777354330