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1244374742000 = 245313101473867
BaseRepresentation
bin10010000110111010100…
…000111011001111110000
311101221221121121120022102
4102012322200323033300
5130341434413221000
62351354033155532
7155621523533465
oct22067240731760
94357847546272
101244374742000
1143a811112595
121812026bbba8
1390461ac87b0
1444329b1766c
15225807bc3d5
hex121ba83b3f0

1244374742000 has 160 divisors (see below), whose sum is σ = 3272441425344. Its totient is φ = 454911360000.

The previous prime is 1244374741991. The next prime is 1244374742053. The reversal of 1244374742000 is 2474734421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389067 + ... + 2862933.

Almost surely, 21244374742000 is an apocalyptic number.

1244374742000 is a gapful number since it is divisible by the number (10) 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 1244374742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636220712672).

1244374742000 is an abundant number, since it is smaller than the sum of its proper divisors (2028066683344).

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

1244374742000 is a wasteful number, since it uses less digits than its factorization.

1244374742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474004 (or 473988 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 38.

The spelling of 1244374742000 in words is "one trillion, two hundred forty-four billion, three hundred seventy-four million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 101 104 125 130 200 202 208 250 260 325 400 404 500 505 520 650 808 1000 1010 1040 1300 1313 1616 1625 2000 2020 2525 2600 2626 3250 4040 5050 5200 5252 6500 6565 8080 10100 10504 12625 13000 13130 20200 21008 25250 26000 26260 32825 40400 50500 52520 65650 101000 105040 131300 164125 202000 262600 328250 473867 525200 656500 947734 1313000 1895468 2369335 2626000 3790936 4738670 6160271 7581872 9477340 11846675 12320542 18954680 23693350 24641084 30801355 37909360 47386700 47860567 49282168 59233375 61602710 94773400 95721134 98564336 118466750 123205420 154006775 189546800 191442268 236933500 239302835 246410840 308013550 382884536 473867000 478605670 492821680 616027100 622187371 765769072 770033875 947734000 957211340 1196514175 1232054200 1244374742 1540067750 1914422680 2393028350 2464108400 2488749484 3080135500 3110936855 3828845360 4786056700 4977498968 5982570875 6160271000 6221873710 9572113400 9954997936 11965141750 12320542000 12443747420 15554684275 19144226800 23930283500 24887494840 31109368550 47860567000 49774989680 62218737100 77773421375 95721134000 124437474200 155546842750 248874948400 311093685500 622187371000 1244374742000