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2141345151320 = 235418977318979
BaseRepresentation
bin11111001010010010000…
…111011111100101011000
321120201012000200111102112
4133022102013133211120
5240040433324320240
64315415334051452
7310464346316234
oct37122207374530
97521160614375
102141345151320
11756159571031
122a70101a9b88
13126c0aa0c79b
14758da9d35c4
153aa7bd5c665
hex1f2921df958

2141345151320 has 128 divisors (see below), whose sum is σ = 4997714904000. Its totient is φ = 825145221120.

The previous prime is 2141345151233. The next prime is 2141345151329. The reversal of 2141345151320 is 231515431412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141345151329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112817591 + ... + 112836569.

Almost surely, 22141345151320 is an apocalyptic number.

2141345151320 is a gapful number since it is divisible by the number (20) 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 2141345151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498857452000).

2141345151320 is an abundant number, since it is smaller than the sum of its proper divisors (2856369752680).

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

2141345151320 is a wasteful number, since it uses less digits than its factorization.

2141345151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19893 (or 19889 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 2141345151320 in words is "two trillion, one hundred forty-one billion, three hundred forty-five million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 89 164 178 205 328 356 410 445 712 773 820 890 1546 1640 1780 3092 3560 3649 3865 6184 7298 7730 14596 15460 18245 18979 29192 30920 31693 36490 37958 63386 68797 72980 75916 94895 126772 137594 145960 151832 158465 189790 253544 275188 316930 343985 379580 550376 633860 687970 759160 778139 1267720 1375940 1556278 1689131 2751880 2820677 3112556 3378262 3890695 5641354 6225112 6756524 7781390 8445655 11282708 13513048 14103385 14670767 15562780 16891310 22565416 28206770 29341534 31125560 33782620 56413540 58683068 67565240 69254371 73353835 112827080 117366136 138508742 146707670 277017484 293415340 346271855 554034968 586830680 601501447 692543710 1203002894 1305698263 1385087420 2406005788 2611396526 2770174840 3007507235 4812011576 5222793052 6015014470 6528491315 10445586104 12030028940 13056982630 24060057880 26113965260 52227930520 53533628783 107067257566 214134515132 267668143915 428269030264 535336287830 1070672575660 2141345151320