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141006261570112 = 2629473075265313
BaseRepresentation
bin100000000011111010010100…
…001000011100101001000000
3200111021001210210220200111101
4200003322110020130221000
5121440221310430220422
61215521214324424144
741462236416354421
oct4003722410345100
9614231723820441
10141006261570112
1140a244686a3474
1213993b5b848054
13608aaab008ac3
1426b6a4d191648
151147d6a807c27
hex803e9421ca40

141006261570112 has 112 divisors (see below), whose sum is σ = 296579552290560. Its totient is φ = 66406620413952.

The previous prime is 141006261570067. The next prime is 141006261570217. The reversal of 141006261570112 is 211075162600141.

It is a super-3 number, since 3×1410062615701123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24147568 + ... + 29412880.

It is an arithmetic number, because the mean of its divisors is an integer number (2648031716880).

Almost surely, 2141006261570112 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 141006261570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148289776145280).

141006261570112 is an abundant number, since it is smaller than the sum of its proper divisors (155573290720448).

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

141006261570112 is a wasteful number, since it uses less digits than its factorization.

141006261570112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265708 (or 5265698 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 141006261570112 in words is "one hundred forty-one trillion, six billion, two hundred sixty-one million, five hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 188 232 307 376 464 614 752 928 1228 1363 1504 1856 2456 2726 3008 4912 5452 8903 9824 10904 14429 17806 19648 21808 28858 35612 43616 57716 71224 87232 115432 142448 230864 284896 418441 461728 569792 836882 923456 1673764 3347528 5265313 6695056 10530626 13390112 21061252 26780224 42122504 84245008 152694077 168490016 247469711 305388154 336980032 494939422 610776308 989878844 1221552616 1616451091 1979757688 2443105232 3232902182 3959515376 4886210464 6465804364 7176621619 7919030752 9772420928 12931608728 14353243238 15838061504 25863217456 28706486476 46877081639 51726434912 57412972952 75973201277 93754163278 103452869824 114825945904 151946402554 187508326556 229651891808 303892805108 375016653112 459303783616 607785610216 750033306224 1215571220432 1500066612448 2203222837033 2431142440864 3000133224896 4406445674066 4862284881728 8812891348132 17625782696264 35251565392528 70503130785056 141006261570112