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1140220042040 = 2351919123813299
BaseRepresentation
bin10000100101111010011…
…010010001101100111000
311001000002220011121011102
4100211322122101230320
5122140132312321130
62231450532350532
7145243500305222
oct20457232215470
94030086147142
101140220042040
113aa623540962
12164b95475448
13836a3611411
143d288d93412
151e9d6950645
hex1097a691b38

1140220042040 has 128 divisors (see below), whose sum is σ = 2716623360000. Its totient is φ = 429510412800.

The previous prime is 1140220042033. The next prime is 1140220042067. The reversal of 1140220042040 is 402400220411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345624311 + ... + 345627609.

It is an arithmetic number, because the mean of its divisors is an integer number (21223620000).

Almost surely, 21140220042040 is an apocalyptic number.

1140220042040 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 1140220042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358311680000).

1140220042040 is an abundant number, since it is smaller than the sum of its proper divisors (1576403317960).

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

1140220042040 is a wasteful number, since it uses less digits than its factorization.

1140220042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1140220042040 its reverse (402400220411), we get a palindrome (1542620262451).

The spelling of 1140220042040 in words is "one trillion, one hundred forty billion, two hundred twenty million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 191 380 382 760 764 955 1528 1910 2381 3299 3629 3820 4762 6598 7258 7640 9524 11905 13196 14516 16495 18145 19048 23810 26392 29032 32990 36290 45239 47620 62681 65980 72580 90478 95240 125362 131960 145160 180956 226195 250724 313405 361912 452390 454771 501448 626810 630109 904780 909542 1253620 1260218 1809560 1819084 2273855 2507240 2520436 3150545 3638168 4547710 5040872 6301090 7854919 8640649 9095420 11972071 12602180 15709838 17281298 18190840 23944142 25204360 31419676 34562596 39274595 43203245 47888284 59860355 62839352 69125192 78549190 86406490 95776568 119720710 149243461 157098380 172812980 239441420 298486922 314196760 345625960 478882840 596973844 746217305 1193947688 1492434610 1500289529 2984869220 3000579058 5969738440 6001158116 7501447645 12002316232 15002895290 28505501051 30005790580 57011002102 60011581160 114022004204 142527505255 228044008408 285055010510 570110021020 1140220042040