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1042244450040 = 233537291780473
BaseRepresentation
bin11110010101010101001…
…11000011011011111000
310200122012210210211121210
433022222213003123320
5114034004034400130
62114444523403120
7135204534436653
oct17125247033370
93618183724553
101042244450040
11372016903522
12149bb16834a0
137738b343941
1438632b4289a
151c1a02ea5b0
hexf2aa9c36f8

1042244450040 has 128 divisors (see below), whose sum is σ = 3212380445760. Its totient is φ = 270324117504.

The previous prime is 1042244450017. The next prime is 1042244450123. The reversal of 1042244450040 is 400544422401.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12911244 + ... + 12991716.

Almost surely, 21042244450040 is an apocalyptic number.

1042244450040 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 1042244450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606190222880).

1042244450040 is an abundant number, since it is smaller than the sum of its proper divisors (2170135995720).

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

1042244450040 is a wasteful number, since it uses less digits than its factorization.

1042244450040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83441 (or 83437 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 1042244450040 its reverse (400544422401), we get a palindrome (1442788872441).

The spelling of 1042244450040 in words is "one trillion, forty-two billion, two hundred forty-four million, four hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2917 4440 5834 8751 11668 14585 17502 23336 29170 35004 43755 58340 70008 80473 87510 107929 116680 160946 175020 215858 241419 321892 323787 350040 402365 431716 482838 539645 643784 647574 804730 863432 965676 1079290 1207095 1295148 1609460 1618935 1931352 2158580 2414190 2590296 2977501 3218920 3237870 4317160 4828380 5955002 6475740 8932503 9656760 11910004 12951480 14887505 17865006 23820008 29775010 35730012 44662515 59550020 71460024 89325030 119100040 178650060 234739741 357300120 469479482 704219223 938958964 1173698705 1408438446 1877917928 2347397410 2816876892 3521096115 4694794820 5633753784 7042192230 8685370417 9389589640 14084384460 17370740834 26056111251 28168768920 34741481668 43426852085 52112222502 69482963336 86853704170 104224445004 130280556255 173707408340 208448890008 260561112510 347414816680 521122225020 1042244450040