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1332030112440 = 233516369719769
BaseRepresentation
bin10011011000100011001…
…011101000001010111000
311201100012110122202022220
4103120203023220022320
5133310444202044230
62455532020044040
7165143643066366
oct23304313501270
94640173582286
101332030112440
11473a022aa7a5
121961a6233620
13987c0c4aab1
144868348a636
15249b0dadd10
hex136232e82b8

1332030112440 has 128 divisors (see below), whose sum is σ = 4021594617600. Its totient is φ = 352942064640.

The previous prime is 1332030112433. The next prime is 1332030112451. The reversal of 1332030112440 is 442110302331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1332030112440.

It is a congruent number.

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, 136347876 + ... + 136357644.

It is an arithmetic number, because the mean of its divisors is an integer number (31418707950).

Almost surely, 21332030112440 is an apocalyptic number.

1332030112440 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 1332030112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010797308800).

1332030112440 is an abundant number, since it is smaller than the sum of its proper divisors (2689564505160).

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

1332030112440 is a wasteful number, since it uses less digits than its factorization.

1332030112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16917 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1332030112440 its reverse (442110302331), we get a palindrome (1774140414771).

The spelling of 1332030112440 in words is "one trillion, three hundred thirty-two billion, thirty million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 6971 9769 9780 13942 19538 19560 20913 27884 29307 34855 39076 41826 48845 55768 58614 69710 78152 83652 97690 104565 117228 139420 146535 167304 195380 209130 234456 278840 293070 390760 418260 586140 836520 1136273 1172280 1592347 2272546 3184694 3408819 4545092 4777041 5681365 6369388 6817638 7961735 9090184 9554082 11362730 12738776 13635276 15923470 17044095 19108164 22725460 23885205 27270552 31846940 34088190 38216328 45450920 47770410 63693880 68099699 68176380 95540820 136199398 136352760 191081640 204299097 272398796 340498495 408598194 544797592 680996990 817196388 1021495485 1361993980 1634392776 2042990970 2723987960 4085981940 8171963880 11100250937 22200501874 33300752811 44401003748 55501254685 66601505622 88802007496 111002509370 133203011244 166503764055 222005018740 266406022488 333007528110 444010037480 666015056220 1332030112440