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1441213333640 = 2351737234124469
BaseRepresentation
bin10100111110001111000…
…000100100000010001000
312002210000122011001211022
4110332033000210002020
5142103101103134030
63022030111252012
7206060416131503
oct24761700440210
95083018131738
101441213333640
11506240399903
121b339751a008
13a5ba116b922
144da7ddb813a
1527751417de5
hex14f8f024088

1441213333640 has 128 divisors (see below), whose sum is σ = 3527926034400. Its totient is φ = 527663185920.

The previous prime is 1441213333639. The next prime is 1441213333687. The reversal of 1441213333640 is 463333121441.

It can be written as a sum of positive squares in 16 ways, for example, as 429446923684 + 1011766409956 = 655322^2 + 1005866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1441213333640.

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, 58887326 + ... + 58911794.

Almost surely, 21441213333640 is an apocalyptic number.

1441213333640 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 1441213333640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763963017200).

1441213333640 is an abundant number, since it is smaller than the sum of its proper divisors (2086712700760).

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

1441213333640 is a wasteful number, since it uses less digits than its factorization.

1441213333640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875 (or 26871 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 1441213333640 in words is "one trillion, four hundred forty-one billion, two hundred thirteen million, three hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2341 2516 3145 4682 5032 6290 9364 11705 12580 18728 23410 24469 25160 39797 46820 48938 79594 86617 93640 97876 122345 159188 173234 195752 198985 244690 318376 346468 397970 415973 433085 489380 692936 795940 831946 866170 905353 978760 1472489 1591880 1663892 1732340 1810706 2079865 2944978 3327784 3464680 3621412 4159730 4526765 5889956 7242824 7362445 8319460 9053530 11779912 14724890 15391001 16638920 18107060 29449780 30782002 36214120 57281929 58899560 61564004 76955005 114563858 123128008 153910010 229127716 286409645 307820020 458255432 572819290 615640040 973792793 1145638580 1947585586 2119431373 2291277160 3895171172 4238862746 4868963965 7790342344 8477725492 9737927930 10597156865 16955450984 19475855860 21194313730 36030333341 38951711720 42388627460 72060666682 84777254920 144121333364 180151666705 288242666728 360303333410 720606666820 1441213333640