Search a number
-
+
11433113431440 = 2435617110999301
BaseRepresentation
bin1010011001011111101010…
…1010100010110110010000
31111110222212022222122200220
42212113322222202312100
52444310004014301230
640152144431313040
72260005131461641
oct246277252426620
944428768878626
1011433113431440
113708835520478
12134799267b780
1364c1a4175bbc
142b75194756c8
1514c6051c9d10
hexa65faaa2d90

11433113431440 has 160 divisors (see below), whose sum is σ = 36531057791232. Its totient is φ = 2956611840000.

The previous prime is 11433113431387. The next prime is 11433113431457. The reversal of 11433113431440 is 4413431133411.

11433113431440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4460211 + ... + 6539090.

Almost surely, 211433113431440 is an apocalyptic number.

11433113431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11433113431440 is an abundant number, since it is smaller than the sum of its proper divisors (25097944359792).

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

11433113431440 is a wasteful number, since it uses less digits than its factorization.

11433113431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10999449 (or 10999443 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 11433113431440 its reverse (4413431133411), we get a palindrome (15846544564851).

The spelling of 11433113431440 in words is "eleven trillion, four hundred thirty-three billion, one hundred thirteen million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 71 80 120 122 142 183 213 240 244 284 305 355 366 426 488 568 610 710 732 852 915 976 1065 1136 1220 1420 1464 1704 1830 2130 2440 2840 2928 3408 3660 4260 4331 4880 5680 7320 8520 8662 12993 14640 17040 17324 21655 25986 34648 43310 51972 64965 69296 86620 103944 129930 173240 207888 259860 346480 519720 1039440 10999301 21998602 32997903 43997204 54996505 65995806 87994408 109993010 131991612 164989515 175988816 219986020 263983224 329979030 439972040 527966448 659958060 670957361 780950371 879944080 1319916120 1341914722 1561900742 2012872083 2342851113 2639832240 2683829444 3123801484 3354786805 3904751855 4025744166 4685702226 5367658888 6247602968 6709573610 7809503710 8051488332 9371404452 10064360415 10735317776 11714255565 12495205936 13419147220 15619007420 16102976664 18742808904 20128720830 23428511130 26838294440 31238014840 32205953328 37485617808 40257441660 46857022260 47637972631 53676588880 62476029680 80514883320 93714044520 95275945262 142913917893 161029766640 187428089040 190551890524 238189863155 285827835786 381103781048 476379726310 571655671572 714569589465 762207562096 952759452620 1143311343144 1429139178930 1905518905240 2286622686288 2858278357860 3811037810480 5716556715720 11433113431440