Search a number
-
+
1151102014032 = 243191291977671
BaseRepresentation
bin10000110000000011000…
…001101101001001010000
311002001012021112001102010
4100300003001231021100
5122324424103422112
62240450423022520
7146110244452125
oct20600301551120
94061167461363
101151102014032
114041a8094543
1216711189aa40
1384718c525b9
143d9dc2dc74c
151ee21e7863c
hex10c0306d250

1151102014032 has 80 divisors (see below), whose sum is σ = 3132617515520. Its totient is φ = 363223958400.

The previous prime is 1151102014021. The next prime is 1151102014063. The reversal of 1151102014032 is 2304102011511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688557 + ... + 1666227.

It is an arithmetic number, because the mean of its divisors is an integer number (39157718944).

Almost surely, 21151102014032 is an apocalyptic number.

1151102014032 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 1151102014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566308757760).

1151102014032 is an abundant number, since it is smaller than the sum of its proper divisors (1981515501488).

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

1151102014032 is a wasteful number, since it uses less digits than its factorization.

1151102014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978992 (or 978986 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 1151102014032 its reverse (2304102011511), we get a palindrome (3455204025543).

The spelling of 1151102014032 in words is "one trillion, one hundred fifty-one billion, one hundred two million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1291 2582 3873 5164 7746 10328 15492 20656 24529 30984 49058 61968 73587 98116 147174 196232 294348 392464 588696 977671 1177392 1955342 2933013 3910684 5866026 7821368 11732052 15642736 18575749 23464104 37151498 46928208 55727247 74302996 111454494 148605992 222908988 297211984 445817976 891635952 1262173261 2524346522 3786519783 5048693044 7573039566 10097386088 15146079132 20194772176 23981291959 30292158264 47962583918 60584316528 71943875877 95925167836 143887751754 191850335672 287775503508 383700671344 575551007016 1151102014032