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57342743040 = 293511678773
BaseRepresentation
bin110101011001111001…
…001101001000000000
312111000022111011110210
4311121321031020000
51414414220234130
642202021554120
74100002162602
oct653171151000
9174008434423
1057342743040
1122356535630
12b143b75940
13553b08a9ab
142abd9c9172
1517593125b0
hexd59e4d200

57342743040 has 160 divisors (see below), whose sum is σ = 199983110976. Its totient is φ = 13901250560.

The previous prime is 57342743023. The next prime is 57342743057. The reversal of 57342743040 is 4034724375.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57342743023) and next prime (57342743057).

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

It is a self number, because there is not a number n which added to its sum of digits gives 57342743040.

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, 254907 + ... + 423866.

Almost surely, 257342743040 is an apocalyptic number.

It is an amenable number.

57342743040 is an abundant number, since it is smaller than the sum of its proper divisors (142640367936).

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

57342743040 is a wasteful number, since it uses less digits than its factorization.

57342743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678810 (or 678794 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The spelling of 57342743040 in words is "fifty-seven billion, three hundred forty-two million, seven hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 678773 1357546 2036319 2715092 3393865 4072638 5430184 6787730 7466503 8145276 10181595 10860368 13575460 14933006 16290552 20363190 21720736 22399509 27150920 29866012 32581104 37332515 40726380 43441472 44799018 54301840 59732024 65162208 74665030 81452760 86882944 89598036 108603680 111997545 119464048 130324416 149330060 162905520 173765888 179196072 217207360 223995090 238928096 260648832 298660120 325811040 347531776 358392144 434414720 447990180 477856192 521297664 597320240 651622080 716784288 868829440 895980360 955712384 1042595328 1194640480 1303244160 1433568576 1737658880 1791960720 1911424768 2389280960 2606488320 2867137152 3583921440 3822849536 4778561920 5212976640 5734274304 7167842880 9557123840 11468548608 14335685760 19114247680 28671371520 57342743040