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211420231440 = 24351127280311
BaseRepresentation
bin1100010011100110100…
…0001011011100010000
3202012201020110112220020
43010321220023130100
511430442034401230
6241043005143440
721163122213255
oct3047150133420
9665636415806
10211420231440
1181732233100
1234b8425ab80
1316c2431c982
14a338b0142c
155775d71810
hex3139a0b710

211420231440 has 120 divisors (see below), whose sum is σ = 720401433024. Its totient is φ = 51253382400.

The previous prime is 211420231423. The next prime is 211420231447. The reversal of 211420231440 is 44132024112.

It is a tau number, because it is divible by the number of its divisors (120).

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 211420231440.

It is not an unprimeable number, because it can be changed into a prime (211420231447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3611116 + ... + 3669195.

Almost surely, 2211420231440 is an apocalyptic number.

211420231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211420231440 is an abundant number, since it is smaller than the sum of its proper divisors (508981201584).

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

211420231440 is a wasteful number, since it uses less digits than its factorization.

211420231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280349 (or 7280332 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211420231440 its reverse (44132024112), we get a palindrome (255552255552).

The spelling of 211420231440 in words is "two hundred eleven billion, four hundred twenty million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 7280311 14560622 21840933 29121244 36401555 43681866 58242488 72803110 80083421 87363732 109204665 116484976 145606220 160166842 174727464 218409330 240250263 291212440 320333684 349454928 400417105 436818660 480500526 582424880 640667368 800834210 873637320 880917631 961001052 1201251315 1281334736 1601668420 1747274640 1761835262 1922002104 2402502630 2642752893 3203336840 3523670524 3844004208 4404588155 4805005260 5285505786 6406673680 7047341048 8809176310 9610010520 10571011572 13213764465 14094682096 17618352620 19220021040 21142023144 26427528930 35236705240 42284046288 52855057860 70473410480 105710115720 211420231440