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1130490139632 = 243729347334349
BaseRepresentation
bin10000011100110110011…
…101101001001111110000
311000001222210122100021120
4100130312131221033300
5122010220433432012
62223201235022240
7144450412431630
oct20346635511760
94001883570246
101130490139632
113a64902371a7
1216311aa3a980
13827b2882309
143ca04a5c6c0
151e61764658c
hex107367693f0

1130490139632 has 160 divisors (see below), whose sum is σ = 3462689088000. Its totient is φ = 310959688704.

The previous prime is 1130490139607. The next prime is 1130490139637. The reversal of 1130490139632 is 2369310940311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130490139637) 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, 3213994 + ... + 3548342.

It is an arithmetic number, because the mean of its divisors is an integer number (21641806800).

Almost surely, 21130490139632 is an apocalyptic number.

1130490139632 is a gapful number since it is divisible by the number (12) 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 1130490139632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731344544000).

1130490139632 is an abundant number, since it is smaller than the sum of its proper divisors (2332198948368).

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

1130490139632 is a wasteful number, since it uses less digits than its factorization.

1130490139632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334743 (or 334737 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 1130490139632 in words is "one trillion, one hundred thirty billion, four hundred ninety million, one hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 347 348 406 464 609 694 696 812 1041 1218 1388 1392 1624 2082 2429 2436 2776 3248 4164 4858 4872 5552 7287 8328 9716 9744 10063 14574 16656 19432 20126 29148 30189 38864 40252 58296 60378 70441 80504 116592 120756 140882 161008 211323 241512 281764 334349 422646 483024 563528 668698 845292 1003047 1127056 1337396 1690584 2006094 2340443 2674792 3381168 4012188 4680886 5349584 7021329 8024376 9361772 9696121 14042658 16048752 18723544 19392242 28085316 29088363 37447088 38784484 56170632 58176726 67872847 77568968 112341264 116019103 116353452 135745694 155137936 203618541 232038206 232706904 271491388 348057309 407237082 464076412 465413808 542982776 696114618 812133721 814474164 928152824 1085965552 1392229236 1624267442 1628948328 1856305648 2436401163 2784458472 3248534884 3257896656 3364553987 4872802326 5568916944 6497069768 6729107974 9745604652 10093661961 12994139536 13458215948 19491209304 20187323922 23551877909 26916431896 38982418608 40374647844 47103755818 53832863792 70655633727 80749295688 94207511636 141311267454 161498591376 188415023272 282622534908 376830046544 565245069816 1130490139632