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1240001143040 = 28511101871963
BaseRepresentation
bin10010000010110101110…
…100111110000100000000
311101112122210220201102202
4102002311310332010000
5130304010243034130
62345352035532332
7155405245544222
oct22026564760400
94345583821382
101240001143040
114389773559a0
121803a1a5a0a8
138cc1597a60a
1444032d12412
15223c684b145
hex120b5d3e100

1240001143040 has 144 divisors (see below), whose sum is σ = 3272292547776. Its totient is φ = 446444544000.

The previous prime is 1240001143027. The next prime is 1240001143081. The reversal of 1240001143040 is 403411000421.

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

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, 986099 + ... + 1858061.

It is an arithmetic number, because the mean of its divisors is an integer number (22724253804).

Almost surely, 21240001143040 is an apocalyptic number.

1240001143040 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 1240001143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636146273888).

1240001143040 is an abundant number, since it is smaller than the sum of its proper divisors (2032291404736).

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

1240001143040 is a wasteful number, since it uses less digits than its factorization.

1240001143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872096 (or 872082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1240001143040 its reverse (403411000421), we get a palindrome (1643412143461).

The spelling of 1240001143040 in words is "one trillion, two hundred forty billion, one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 640 704 808 880 1010 1111 1280 1408 1616 1760 2020 2222 2816 3232 3520 4040 4444 5555 6464 7040 8080 8888 11110 12928 14080 16160 17776 22220 25856 32320 35552 44440 64640 71104 88880 129280 142208 177760 284416 355520 711040 871963 1422080 1743926 3487852 4359815 6975704 8719630 9591593 13951408 17439260 19183186 27902816 34878520 38366372 47957965 55805632 69757040 76732744 88068263 95915930 111611264 139514080 153465488 176136526 191831860 223222528 279028160 306930976 352273052 383663720 440341315 558056320 613861952 704546104 767327440 880682630 968750893 1116112640 1227723904 1409092208 1534654880 1761365260 1937501786 2455447808 2818184416 3069309760 3522730520 3875003572 4843754465 5636368832 6138619520 7045461040 7750007144 9687508930 11272737664 12277239040 14090922080 15500014288 19375017860 22545475328 28181844160 31000028576 38750035720 56363688320 62000057152 77500071440 112727376640 124000114304 155000142880 248000228608 310000285760 620000571520 1240001143040