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40406706773312 = 2611793527205991
BaseRepresentation
bin10010010111111111010110…
…11001110101110101000000
312022001211202212110202200212
421023333223121311311000
520244010413413221222
6221534330153533252
711340200601424505
oct1113775331656500
9168054685422625
1040406706773312
111196942a633530
124647110414228
13197144a542c09
149d99a32a94ac
154a111030c6e2
hex24bfeb675d40

40406706773312 has 112 divisors (see below), whose sum is σ = 88604113489920. Its totient is φ = 18128965670400.

The previous prime is 40406706773269. The next prime is 40406706773341. The reversal of 40406706773312 is 21337760760404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196054637 + ... + 196260627.

It is an arithmetic number, because the mean of its divisors is an integer number (791108156160).

Almost surely, 240406706773312 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 40406706773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44302056744960).

40406706773312 is an abundant number, since it is smaller than the sum of its proper divisors (48197406716608).

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

40406706773312 is a wasteful number, since it uses less digits than its factorization.

40406706773312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209620 (or 209610 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 50.

The spelling of 40406706773312 in words is "forty trillion, four hundred six billion, seven hundred six million, seven hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 3527 5056 6952 7054 13904 14108 27808 28216 38797 55616 56432 77594 112864 155188 205991 225728 278633 310376 411982 557266 620752 823964 1114532 1241504 1647928 2229064 2265901 2483008 3064963 3295856 4458128 4531802 6129926 6591712 8916256 9063604 12259852 13183424 16273289 17832512 18127208 24519704 32546578 36254416 49039408 65093156 72508832 98078816 130186312 145017664 179006179 196157632 260372624 358012358 520745248 716024716 726530257 1041490496 1432049432 1453060514 2864098864 2906121028 5728197728 5812242056 7991832827 11456395456 11624484112 15983665654 23248968224 31967331308 46497936448 57395890303 63934662616 114791780606 127869325232 229583561212 255738650464 459167122424 511477300928 631354793333 918334244848 1262709586666 1836668489696 2525419173332 3673336979392 5050838346664 10101676693328 20203353386656 40406706773312