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40244791680 = 27345776327
BaseRepresentation
bin100101011110110001…
…101100100110000000
310211212201200020120000
4211132301230212000
51124410131313210
630253241320000
72623206041112
oct453661544600
9124781606500
1040244791680
1116082154715
127971a96000
133a449c0402
141d3accd3b2
1510a823cac0
hex95ec6c980

40244791680 has 160 divisors (see below), whose sum is σ = 143721602640. Its totient is φ = 10731930624.

The previous prime is 40244791669. The next prime is 40244791693. The reversal of 40244791680 is 8619744204.

40244791680 is a `hidden beast` number, since 40 + 2 + 447 + 9 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 336324 + ... + 440003.

Almost surely, 240244791680 is an apocalyptic number.

40244791680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40244791680 is an abundant number, since it is smaller than the sum of its proper divisors (103476810960).

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

40244791680 is an equidigital number, since it uses as much as digits as its factorization.

40244791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776358 (or 776337 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40244791680 in words is "forty billion, two hundred forty-four million, seven hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 776327 1552654 2328981 3105308 3881635 4657962 6210616 6986943 7763270 9315924 11644905 12421232 13973886 15526540 18631848 20960829 23289810 24842464 27947772 31053080 34934715 37263696 41921658 46579620 49684928 55895544 62106160 62882487 69869430 74527392 83843316 93159240 99369856 104804145 111791088 124212320 125764974 139738860 149054784 167686632 186318480 209608290 223582176 248424640 251529948 279477720 298109568 314412435 335373264 372636960 419216580 447164352 496849280 503059896 558955440 628824870 670746528 745273920 838433160 894328704 1006119792 1117910880 1257649740 1341493056 1490547840 1676866320 2012239584 2235821760 2515299480 2682986112 3353732640 4024479168 4471643520 5030598960 6707465280 8048958336 10061197920 13414930560 20122395840 40244791680