Search a number
-
+
1182157438440 = 2335115771552121
BaseRepresentation
bin10001001100111110000…
…100101111110111101000
311012000100120210001220010
4101030332010233313220
5123332024301012230
62303024200331520
7151256651301066
oct21147604576750
94160316701803
101182157438440
11416394067550
1217113a173ba0
1387627b8bc84
14413069a1036
1520b3d5809b0
hex1133e12fde8

1182157438440 has 128 divisors (see below), whose sum is σ = 3875586549120. Its totient is φ = 286086758400.

The previous prime is 1182157438409. The next prime is 1182157438453. The reversal of 1182157438440 is 448347512811.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1182157438440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14421 + ... + 1537700.

It is an arithmetic number, because the mean of its divisors is an integer number (30278019915).

Almost surely, 21182157438440 is an apocalyptic number.

1182157438440 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 1182157438440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937793274560).

1182157438440 is an abundant number, since it is smaller than the sum of its proper divisors (2693429110680).

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

1182157438440 is a wasteful number, since it uses less digits than its factorization.

1182157438440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552723 (or 1552719 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 1182157438440 in words is "one trillion, one hundred eighty-two billion, one hundred fifty-seven million, four hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 577 660 1154 1320 1731 2308 2885 3462 4616 5770 6347 6924 8655 11540 12694 13848 17310 19041 23080 25388 31735 34620 38082 50776 63470 69240 76164 95205 126940 152328 190410 253880 380820 761640 1552121 3104242 4656363 6208484 7760605 9312726 12416968 15521210 17073331 18625452 23281815 31042420 34146662 37250904 46563630 51219993 62084840 68293324 85366655 93127260 102439986 136586648 170733310 186254520 204879972 256099965 341466620 409759944 512199930 682933240 895573817 1024399860 1791147634 2048799720 2686721451 3582295268 4477869085 5373442902 7164590536 8955738170 9851311987 10746885804 13433607255 17911476340 19702623974 21493771608 26867214510 29553935961 35822952680 39405247948 49256559935 53734429020 59107871922 78810495896 98513119870 107468858040 118215743844 147769679805 197026239740 236431487688 295539359610 394052479480 591078719220 1182157438440