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14133102052440 = 23357121011390391
BaseRepresentation
bin1100110110101001111010…
…0001110000010001011000
31212001010000011220210100110
43031222132201300101120
53323024043111134230
650020354002004320
72656040305211430
oct315523641602130
955033004823313
1014133102052440
1145598a6728718
12170310b3466a0
137b69906c1a67
1436c08d9072c0
1519797b2634b0
hexcda9e870458

14133102052440 has 128 divisors (see below), whose sum is σ = 48460389073920. Its totient is φ = 3230154048000.

The previous prime is 14133102052351. The next prime is 14133102052463. The reversal of 14133102052440 is 4425020133141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14133102052398 and 14133102052407.

It is a congruent number.

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, 9469645 + ... + 10860035.

It is an arithmetic number, because the mean of its divisors is an integer number (378596789640).

Almost surely, 214133102052440 is an apocalyptic number.

14133102052440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14133102052440 is an abundant number, since it is smaller than the sum of its proper divisors (34327287021480).

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

14133102052440 is a wasteful number, since it uses less digits than its factorization.

14133102052440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402513 (or 1402509 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14133102052440 its reverse (4425020133141), we get a palindrome (18558122185581).

The spelling of 14133102052440 in words is "fourteen trillion, one hundred thirty-three billion, one hundred two million, fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12101 24202 36303 48404 60505 72606 84707 96808 121010 145212 169414 181515 242020 254121 290424 338828 363030 423535 484040 508242 677656 726060 847070 1016484 1270605 1390391 1452120 1694140 2032968 2541210 2780782 3388280 4171173 5082420 5561564 6951955 8342346 9732737 10164840 11123128 13903910 16684692 19465474 20855865 27807820 29198211 33369384 38930948 41711730 48663685 55615640 58396422 77861896 83423460 97327370 116792844 145991055 166846920 194654740 233585688 291982110 389309480 583964220 1167928440 16825121491 33650242982 50475364473 67300485964 84125607455 100950728946 117775850437 134600971928 168251214910 201901457892 235551700874 252376822365 336502429820 353327551311 403802915784 471103401748 504753644730 588879252185 673004859640 706655102622 942206803496 1009507289460 1177758504370 1413310205244 1766637756555 2019014578920 2355517008740 2826620410488 3533275513110 4711034017480 7066551026220 14133102052440