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11312014440 = 23353714917099
BaseRepresentation
bin10101000100011111…
…11010010001101000
31002012100112212120210
422202033322101220
5141131333430230
65110251421120
7550215351636
oct124217722150
932170485523
1011312014440
114885378971
1222384547a0
1310b3770b8c
147944d0356
15463172eb0
hex2a23fa468

11312014440 has 128 divisors (see below), whose sum is σ = 35089200000. Its totient is φ = 2915140608.

The previous prime is 11312014409. The next prime is 11312014457. The reversal of 11312014440 is 4441021311.

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, 653011 + ... + 670109.

It is an arithmetic number, because the mean of its divisors is an integer number (274134375).

Almost surely, 211312014440 is an apocalyptic number.

11312014440 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 11312014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544600000).

11312014440 is an abundant number, since it is smaller than the sum of its proper divisors (23777185560).

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

11312014440 is a wasteful number, since it uses less digits than its factorization.

11312014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17299 (or 17295 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11312014440 its reverse (4441021311), we get a palindrome (15753035751).

The spelling of 11312014440 in words is "eleven billion, three hundred twelve million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 149 185 222 296 298 370 444 447 555 596 740 745 888 894 1110 1192 1480 1490 1788 2220 2235 2980 3576 4440 4470 5513 5960 8940 11026 16539 17099 17880 22052 27565 33078 34198 44104 51297 55130 66156 68396 82695 85495 102594 110260 132312 136792 165390 170990 205188 220520 256485 330780 341980 410376 512970 632663 661560 683960 1025940 1265326 1897989 2051880 2530652 2547751 3163315 3795978 5061304 5095502 6326630 7591956 7643253 9489945 10191004 12653260 12738755 15183912 15286506 18979890 20382008 25306520 25477510 30573012 37959780 38216265 50955020 61146024 75919560 76432530 94266787 101910040 152865060 188533574 282800361 305730120 377067148 471333935 565600722 754134296 942667870 1131201444 1414001805 1885335740 2262402888 2828003610 3770671480 5656007220 11312014440