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2942141773440 = 27352441962753
BaseRepresentation
bin101010110100000101010…
…100001011011010000000
3101102021011220210211112010
4222310011110023122000
5341201001243222230
610131333512532520
7422364005305602
oct52640524133200
911367156724463
102942141773440
11a34834369811
123b62593b1140
1318459aa2869c
14a2586a85172
15517ea05a9b0
hex2ad0550b680

2942141773440 has 128 divisors (see below), whose sum is σ = 9378610401600. Its totient is φ = 784526508032.

The previous prime is 2942141773427. The next prime is 2942141773451. The reversal of 2942141773440 is 443771412492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×29421417734404 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2942141773440.

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, 46853104 + ... + 46915856.

Almost surely, 22942141773440 is an apocalyptic number.

2942141773440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2942141773440 is an abundant number, since it is smaller than the sum of its proper divisors (6436468628160).

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

2942141773440 is a wasteful number, since it uses less digits than its factorization.

2942141773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87194 (or 87182 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2942141773440 in words is "two trillion, nine hundred forty-two billion, one hundred forty-one million, seven hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 24419 48838 62753 73257 97676 122095 125506 146514 188259 195352 244190 251012 293028 313765 366285 376518 390704 488380 502024 586056 627530 732570 753036 781408 941295 976760 1004048 1172112 1255060 1465140 1506072 1562816 1882590 1953520 2008096 2344224 2510120 2930280 3012144 3125632 3765180 3907040 4016192 4688448 5020240 5860560 6024288 7530360 7814080 8032384 9376896 10040480 11721120 12048576 15060720 15628160 20080960 23442240 24097152 30121440 40161920 46884480 60242880 120485760 1532365507 3064731014 4597096521 6129462028 7661827535 9194193042 12258924056 15323655070 18388386084 22985482605 24517848112 30647310140 36776772168 45970965210 49035696224 61294620280 73553544336 91941930420 98071392448 122589240560 147107088672 183883860840 196142784896 245178481120 294214177344 367767721680 490356962240 588428354688 735535443360 980713924480 1471070886720 2942141773440