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141411134305104 = 243191676703138517
BaseRepresentation
bin100000001001110011011000…
…011011010111001101010000
3200112200202212002101122021120
4200021303120123113031100
5122013340000340230404
61220431213412322240
741533421510003046
oct4011633033271520
9615622762348246
10141411134305104
1141070141809784
1213a3a512913380
1360ba022007091
1426cc49a568396
151153664db99d9
hex809cd86d7350

141411134305104 has 160 divisors (see below), whose sum is σ = 386902183342080. Its totient is φ = 44381802963456.

The previous prime is 141411134305087. The next prime is 141411134305141. The reversal of 141411134305104 is 401503431114141.

It is a super-2 number, since 2×1414111343051042 (a number of 29 digits) contains 22 as substring.

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, 1020824454 + ... + 1020962970.

It is an arithmetic number, because the mean of its divisors is an integer number (2418138645888).

Almost surely, 2141411134305104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141411134305104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193451091671040).

141411134305104 is an abundant number, since it is smaller than the sum of its proper divisors (245491049036976).

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

141411134305104 is a wasteful number, since it uses less digits than its factorization.

141411134305104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145417 (or 145411 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 141411134305104 its reverse (401503431114141), we get a palindrome (542914565419245).

The spelling of 141411134305104 in words is "one hundred forty-one trillion, four hundred eleven billion, one hundred thirty-four million, three hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 167 228 304 334 456 501 668 912 1002 1336 2004 2672 3173 4008 6346 6703 8016 9519 12692 13406 19038 20109 25384 26812 38076 40218 50768 53624 76152 80436 107248 127357 138517 152304 160872 254714 277034 321744 382071 415551 509428 554068 764142 831102 1018856 1108136 1119401 1528284 1662204 2037712 2216272 2238802 2631823 3056568 3324408 3358203 4477604 5263646 6113136 6648816 6716406 7895469 8955208 10527292 13432812 15790938 17910416 21054584 21268619 23132339 26865624 31581876 42109168 42537238 46264678 53731248 63163752 63805857 69397017 85074476 92529356 126327504 127611714 138794034 170148952 185058712 255223428 277588068 340297904 370117424 439514441 510446856 555176136 879028882 928479451 1020893712 1110352272 1318543323 1758057764 1856958902 2637086646 2785438353 3516115528 3713917804 5274173292 5570876706 7032231056 7427835608 10548346584 11141753412 14855671216 17641109569 21096693168 22283506824 35282219138 44567013648 52923328707 70564438276 105846657414 141128876552 155056068317 211693314828 282257753104 310112136634 423386629656 465168204951 620224273268 846773259312 930336409902 1240448546536 1860672819804 2480897093072 2946065298023 3721345639608 5892130596046 7442691279216 8838195894069 11784261192092 17676391788138 23568522384184 35352783576276 47137044768368 70705567152552 141411134305104