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1201043433040 = 245113978274157
BaseRepresentation
bin10001011110100011110…
…001000110011001010000
311020211002210010000000121
4101132203301012121100
5124134214104324130
62315430213000024
7152525655510613
oct21364361063120
94224083100017
101201043433040
114233a5785850
1217492b023014
13893478211c9
14421b8d4017a
15213965ead7a
hex117a3c46650

1201043433040 has 160 divisors (see below), whose sum is σ = 3058384500864. Its totient is φ = 435011512320.

The previous prime is 1201043433001. The next prime is 1201043433041. The reversal of 1201043433040 is 403343401021.

It is a junction number, because it is equal to n+sod(n) for n = 1201043432996 and 1201043433014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201043433041) 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, 288918642 + ... + 288922798.

Almost surely, 21201043433040 is an apocalyptic number.

1201043433040 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 1201043433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529192250432).

1201043433040 is an abundant number, since it is smaller than the sum of its proper divisors (1857341067824).

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

1201043433040 is a wasteful number, since it uses less digits than its factorization.

1201043433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1201043433040 its reverse (403343401021), we get a palindrome (1604386834061).

The spelling of 1201043433040 in words is "one trillion, two hundred one billion, forty-three million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 397 440 794 827 880 1588 1654 1985 3176 3308 3970 4135 4157 4367 6352 6616 7940 8270 8314 8734 9097 13232 15880 16540 16628 17468 18194 20785 21835 31760 33080 33256 34936 36388 41570 43670 45485 45727 66160 66512 69872 72776 83140 87340 90970 91454 145552 166280 174680 181940 182908 228635 328319 332560 349360 363880 365816 457270 656638 727760 731632 914540 1313276 1641595 1650329 1829080 2626552 3283190 3300658 3437839 3611509 3658160 5253104 6566380 6601316 6875678 7223018 8251645 13132760 13202632 13751356 14446036 16503290 17189195 18057545 18153619 26265520 26405264 27502712 28892072 33006580 34378390 36115090 36307238 37816229 55005424 57784144 66013160 68756780 72230180 72614476 75632458 90768095 132026320 137513560 144460360 145228952 151264916 181536190 189081145 275027120 288920720 290457904 302529832 363072380 378162290 605059664 726144760 756324580 1364822083 1452289520 1512649160 2729644166 3025298320 5459288332 6824110415 10918576664 13648220830 15013042913 21837153328 27296441660 30026085826 54592883320 60052171652 75065214565 109185766640 120104343304 150130429130 240208686608 300260858260 600521716520 1201043433040