Search a number
-
+
11634213023040 = 263588713662877
BaseRepresentation
bin1010100101001100110100…
…1000100110110101000000
31112012012221022100101022010
42221103031020212311000
53011103332013214130
640424403401412520
72310354434011236
oct251231510466500
945165838311263
1011634213023040
113786050a48063
12137a95649a140
13665142231b9a
142c31555ca956
15152974e540b0
hexa94cd226d40

11634213023040 has 112 divisors (see below), whose sum is σ = 36980273503872. Its totient is φ = 3098958882816.

The previous prime is 11634213023039. The next prime is 11634213023143. The reversal of 11634213023040 is 4032031243611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11634213022989 and 11634213023007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5979919 + ... + 7682958.

Almost surely, 211634213023040 is an apocalyptic number.

11634213023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11634213023040 is an abundant number, since it is smaller than the sum of its proper divisors (25346060480832).

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

11634213023040 is a wasteful number, since it uses less digits than its factorization.

11634213023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13663784 (or 13663774 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 11634213023040 its reverse (4032031243611), we get a palindrome (15666244266651).

The spelling of 11634213023040 in words is "eleven trillion, six hundred thirty-four billion, two hundred thirteen million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 887 960 1774 2661 3548 4435 5322 7096 8870 10644 13305 14192 17740 21288 26610 28384 35480 42576 53220 56768 70960 85152 106440 141920 170304 212880 283840 425760 851520 13662877 27325754 40988631 54651508 68314385 81977262 109303016 136628770 163954524 204943155 218606032 273257540 327909048 409886310 437212064 546515080 655818096 819772620 874424128 1093030160 1311636192 1639545240 2186060320 2623272384 3279090480 4372120640 6558180960 12118971899 13116361920 24237943798 36356915697 48475887596 60594859495 72713831394 96951775192 121189718990 145427662788 181784578485 193903550384 242379437980 290855325576 363569156970 387807100768 484758875960 581710651152 727138313940 775614201536 969517751920 1163421302304 1454276627880 1939035503840 2326842604608 2908553255760 3878071007680 5817106511520 11634213023040