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40346066640 = 24351133146171
BaseRepresentation
bin100101100100110100…
…000001111011010000
310212010210020112200110
4211210310001323100
51130112043113030
630311300121320
72625545623305
oct454464017320
9125123215613
1040346066640
1116124337030
12799b996240
133a5c98c319
141d4a5330ac
1510b20951b0
hex964d01ed0

40346066640 has 160 divisors (see below), whose sum is σ = 136858240512. Its totient is φ = 9751104000.

The previous prime is 40346066611. The next prime is 40346066647. The reversal of 40346066640 is 4666064304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40346066647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850755 + ... + 896925.

Almost surely, 240346066640 is an apocalyptic number.

40346066640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40346066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68429120256).

40346066640 is an abundant number, since it is smaller than the sum of its proper divisors (96512173872).

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

40346066640 is a wasteful number, since it uses less digits than its factorization.

40346066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46529 (or 46523 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 40346066640 in words is "forty billion, three hundred forty-six million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 331 440 528 660 662 880 993 1320 1324 1655 1986 2640 2648 3310 3641 3972 4965 5296 6620 7282 7944 9930 10923 13240 14564 15888 18205 19860 21846 26480 29128 36410 39720 43692 46171 54615 58256 72820 79440 87384 92342 109230 138513 145640 174768 184684 218460 230855 277026 291280 369368 436920 461710 507881 554052 692565 738736 873840 923420 1015762 1108104 1385130 1523643 1846840 2031524 2216208 2539405 2770260 3047286 3693680 4063048 5078810 5540520 6094572 7618215 8126096 10157620 11081040 12189144 15236430 15282601 20315240 24378288 30472860 30565202 40630480 45847803 60945720 61130404 76413005 91695606 121891440 122260808 152826010 168108611 183391212 229239015 244521616 305652020 336217222 366782424 458478030 504325833 611304040 672434444 733564848 840543055 916956060 1008651666 1222608080 1344868888 1681086110 1833912120 2017303332 2521629165 2689737776 3362172220 3667824240 4034606664 5043258330 6724344440 8069213328 10086516660 13448688880 20173033320 40346066640