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1240200341120 = 27513503296347
BaseRepresentation
bin10010000011000001101…
…100110110011010000000
311101120011200202000211102
4102003001230312122000
5130304412241403440
62345423513233532
7155413214651516
oct22030154663200
94346150660742
101240200341120
11438a69840404
121804387028a8
138cc480138c0
14440515664b6
15223d9097b15
hex120c1b36680

1240200341120 has 128 divisors (see below), whose sum is σ = 3199278176640. Its totient is φ = 457008205824.

The previous prime is 1240200341117. The next prime is 1240200341141. The reversal of 1240200341120 is 211430020421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12402003411202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1240200341092 and 1240200341101.

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, 4036787 + ... + 4333133.

It is an arithmetic number, because the mean of its divisors is an integer number (24994360755).

Almost surely, 21240200341120 is an apocalyptic number.

1240200341120 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 1240200341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599639088320).

1240200341120 is an abundant number, since it is smaller than the sum of its proper divisors (1959077835520).

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

1240200341120 is a wasteful number, since it uses less digits than its factorization.

1240200341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296882 (or 296870 counting only the distinct ones).

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

Adding to 1240200341120 its reverse (211430020421), we get a palindrome (1451630361541).

The spelling of 1240200341120 in words is "one trillion, two hundred forty billion, two hundred million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 503 520 640 832 1006 1040 1664 2012 2080 2515 4024 4160 5030 6539 8048 8320 10060 13078 16096 20120 26156 32192 32695 40240 52312 64384 65390 80480 104624 130780 160960 209248 261560 296347 321920 418496 523120 592694 836992 1046240 1185388 1481735 2092480 2370776 2963470 3852511 4184960 4741552 5926940 7705022 9483104 11853880 15410044 18966208 19262555 23707760 30820088 37932416 38525110 47415520 61640176 77050220 94831040 123280352 149062541 154100440 189662080 246560704 298125082 308200880 493121408 596250164 616401760 745312705 1192500328 1232803520 1490625410 1937813033 2385000656 2465607040 2981250820 3875626066 4770001312 5962501640 7751252132 9540002624 9689065165 11925003280 15502504264 19080005248 19378130330 23850006560 31005008528 38756260660 47700013120 62010017056 77512521320 95400026240 124020034112 155025042640 248040068224 310050085280 620100170560 1240200341120