Search a number
-
+
1104142432240 = 245531976911913
BaseRepresentation
bin10000000100010100000…
…001000111011111110000
310220112222120210010111001
4100010110001013133300
5121042240430312430
62203122552131344
7142525451551321
oct20042401073760
93815876703431
101104142432240
1139629a688711
12159ba7096b54
1380174079103
143b6256d6448
151dac44ad3ca
hex101140477f0

1104142432240 has 160 divisors (see below), whose sum is σ = 2634025179456. Its totient is φ = 430275256320.

The previous prime is 1104142432193. The next prime is 1104142432241. The reversal of 1104142432240 is 422342414011.

It is a super-3 number, since 3×11041424322403 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1104142432199 and 1104142432208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104142432241) 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, 577177524 + ... + 577179436.

Almost surely, 21104142432240 is an apocalyptic number.

1104142432240 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 1104142432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317012589728).

1104142432240 is an abundant number, since it is smaller than the sum of its proper divisors (1529882747216).

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

1104142432240 is a wasteful number, since it uses less digits than its factorization.

1104142432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1104142432240 its reverse (422342414011), we get a palindrome (1526484846251).

The spelling of 1104142432240 in words is "one trillion, one hundred four billion, one hundred forty-two million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 197 212 265 394 424 530 691 788 848 985 1060 1382 1576 1913 1970 2120 2764 3152 3455 3826 3940 4240 5528 6910 7652 7880 9565 10441 11056 13820 15304 15760 19130 20882 27640 30608 36623 38260 41764 52205 55280 73246 76520 83528 101389 104410 136127 146492 153040 167056 183115 202778 208820 272254 292984 366230 376861 405556 417640 506945 544508 585968 680635 732460 753722 811112 835280 1013890 1089016 1321883 1361270 1464920 1507444 1622224 1884305 2027780 2178032 2643766 2722540 2929840 3014888 3768610 4055560 5287532 5445080 6029776 6609415 7214731 7537220 8111120 10575064 10890160 13218830 14429462 15074440 19973633 21150128 26437660 28858924 30148880 36073655 39947266 52875320 57717848 70059799 72147310 79894532 99868165 105750640 115435696 140119598 144294620 159789064 199736330 260410951 280239196 288589240 319578128 350298995 399472660 520821902 560478392 577178480 700597990 798945320 1041643804 1120956784 1302054755 1401195980 1597890640 2083287608 2604109510 2802391960 4166575216 5208219020 5604783920 10416438040 13801780403 20832876080 27603560806 55207121612 69008902015 110414243224 138017804030 220828486448 276035608060 552071216120 1104142432240