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1200042003440 = 245723163571601
BaseRepresentation
bin10001011101101000000…
…100111100101111110000
311020201111222202002212102
4101131220010330233300
5124130141223102230
62315143000515532
7152462105504030
oct21355004745760
94221458662772
101200042003440
11422a31475985
121746ab77bba8
1389218203407
1442121d3d8c0
1521338736045
hex1176813cbf0

1200042003440 has 160 divisors (see below), whose sum is σ = 3347740302336. Its totient is φ = 391139020800.

The previous prime is 1200042003427. The next prime is 1200042003449. The reversal of 1200042003440 is 443002400021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200042003449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813640 + ... + 2385240.

Almost surely, 21200042003440 is an apocalyptic number.

1200042003440 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 1200042003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673870151168).

1200042003440 is an abundant number, since it is smaller than the sum of its proper divisors (2147698298896).

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

1200042003440 is a wasteful number, since it uses less digits than its factorization.

1200042003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571807 (or 571801 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1200042003440 its reverse (443002400021), we get a palindrome (1643044403461).

The spelling of 1200042003440 in words is "one trillion, two hundred billion, forty-two million, three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 163 184 230 280 322 326 368 460 560 644 652 805 815 920 1141 1288 1304 1610 1630 1840 2282 2576 2608 3220 3260 3749 4564 5705 6440 6520 7498 9128 11410 12880 13040 14996 18256 18745 22820 26243 29992 37490 45640 52486 59984 74980 91280 104972 131215 149960 209944 262430 299920 419888 524860 571601 1049720 1143202 2099440 2286404 2858005 4001207 4572808 5716010 8002414 9145616 11432020 13146823 16004828 20006035 22864040 26293646 32009656 40012070 45728080 52587292 64019312 65734115 80024140 92027761 93170963 105174584 131468230 160048280 184055522 186341926 210349168 262936460 320096560 368111044 372683852 460138805 465854815 525872920 652196741 736222088 745367704 920277610 931709630 1051745840 1304393482 1472444176 1490735408 1840555220 1863419260 2142932149 2608786964 3260983705 3681110440 3726838520 4285864298 5217573928 6521967410 7362220880 7453677040 8571728596 10435147856 10714660745 13043934820 15000525043 17143457192 21429321490 26087869640 30001050086 34286914384 42858642980 52175739280 60002100172 75002625215 85717285960 120004200344 150005250430 171434571920 240008400688 300010500860 600021001720 1200042003440