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2133141396144 = 2431147113760693
BaseRepresentation
bin11111000010101001001…
…000101001101010110000
321112221000021212112222020
4133002221020221222300
5234422133144134034
64311541315111440
7310054142461533
oct37025110515260
97487007775866
102133141396144
11752729786380
122a55008a2580
131262011c9095
147535d24aa1a
153a74ba15249
hex1f0a9229ab0

2133141396144 has 160 divisors (see below), whose sum is σ = 6193826141184. Its totient is φ = 627053629440.

The previous prime is 2133141396137. The next prime is 2133141396173. The reversal of 2133141396144 is 4416931413312.

It is a junction number, because it is equal to n+sod(n) for n = 2133141396096 and 2133141396105.

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, 2423862 + ... + 3184554.

Almost surely, 22133141396144 is an apocalyptic number.

2133141396144 is a gapful number since it is divisible by the number (24) 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 2133141396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096913070592).

2133141396144 is an abundant number, since it is smaller than the sum of its proper divisors (4060684745040).

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

2133141396144 is a wasteful number, since it uses less digits than its factorization.

2133141396144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760875 (or 760869 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 2133141396144 in words is "two trillion, one hundred thirty-three billion, one hundred forty-one million, three hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 113 132 141 176 188 226 264 282 339 376 452 517 528 564 678 752 904 1034 1128 1243 1356 1551 1808 2068 2256 2486 2712 3102 3729 4136 4972 5311 5424 6204 7458 8272 9944 10622 12408 14916 15933 19888 21244 24816 29832 31866 42488 58421 59664 63732 84976 116842 127464 175263 233684 254928 350526 467368 701052 760693 934736 1402104 1521386 2282079 2804208 3042772 4564158 6085544 8367623 9128316 12171088 16735246 18256632 25102869 33470492 35752571 36513264 50205738 66940984 71505142 85958309 100411476 107257713 133881968 143010284 171916618 200822952 214515426 257874927 286020568 343833236 393278281 401645904 429030852 515749854 572041136 687666472 786556562 858061704 945541399 1031499708 1179834843 1375332944 1573113124 1716123408 1891082798 2062999416 2359669686 2836624197 3146226248 3782165596 4040040523 4125998832 4719339372 5673248394 6292452496 7564331192 8080081046 9438678744 11346496788 12120121569 15128662384 16160162092 18877357488 22692993576 24240243138 32320324184 44440445753 45385987152 48480486276 64640648368 88880891506 96960972552 133321337259 177761783012 193921945104 266642674518 355523566024 533285349036 711047132048 1066570698072 2133141396144