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1244025213440 = 2957361710789
BaseRepresentation
bin10010000110100101101…
…011100101001000000000
311101221001020220200021012
4102012211223211020000
5130340230423312230
62351255225420052
7155610050562002
oct22064553451000
94357036820235
101244025213440
1143a65188a609
1218112563a628
1390407579069
14442d5530372
152255ec78395
hex121a5ae5200

1244025213440 has 160 divisors (see below), whose sum is σ = 3028785542640. Its totient is φ = 489952641024.

The previous prime is 1244025213439. The next prime is 1244025213463. The reversal of 1244025213440 is 443125204421.

It can be written as a sum of positive squares in 8 ways, for example, as 204636807424 + 1039388406016 = 452368^2 + 1019504^2 .

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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 1244025213397 and 1244025213406.

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, 115299566 + ... + 115310354.

Almost surely, 21244025213440 is an apocalyptic number.

1244025213440 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 1244025213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514392771320).

1244025213440 is an abundant number, since it is smaller than the sum of its proper divisors (1784760329200).

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

1244025213440 is an equidigital number, since it uses as much as digits as its factorization.

1244025213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502 (or 11486 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 1244025213440 in words is "one trillion, two hundred forty-four billion, twenty-five million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 617 640 730 1168 1234 1280 1460 2336 2468 2560 2920 3085 4672 4936 5840 6170 9344 9872 10789 11680 12340 18688 19744 21578 23360 24680 37376 39488 43156 45041 46720 49360 53945 78976 86312 90082 93440 98720 107890 157952 172624 180164 186880 197440 215780 225205 315904 345248 360328 394880 431560 450410 690496 720656 787597 789760 863120 900820 1380992 1441312 1575194 1579520 1726240 1801640 2761984 2882624 3150388 3452480 3603280 3937985 5523968 5765248 6300776 6656813 6904960 7206560 7875970 11530496 12601552 13313626 13809920 14413120 15751940 23060992 25203104 26627252 27619840 28826240 31503880 33284065 50406208 53254504 57652480 63007760 66568130 100812416 106509008 115304960 126015520 133136260 201624832 213018016 252031040 266272520 403249664 426036032 485947349 504062080 532545040 852072064 971894698 1008124160 1065090080 1704144128 1943789396 2016248320 2130180160 2429736745 3408288256 3887578792 4260360320 4859473490 7775157584 8520720640 9718946980 15550315168 17041441280 19437893960 31100630336 38875787920 62201260672 77751575840 124402521344 155503151680 248805042688 311006303360 622012606720 1244025213440