Search a number
-
+
141003140074040 = 23597509187338119
BaseRepresentation
bin100000000011110111011010…
…000100111000101000111000
3200111020202202021021020212202
4200003313122010320220320
5121440143412324332130
61215515540500125332
741462066154156656
oct4003673204705070
9614222667236782
10141003140074040
1140a2310669a252
121399342a396848
13608a7013c56ca
1426b683479ddd6
151147c36765145
hex803dda138a38

141003140074040 has 128 divisors (see below), whose sum is σ = 321337373616000. Its totient is φ = 55678929666048.

The previous prime is 141003140074037. The next prime is 141003140074061. The reversal of 141003140074040 is 40470041300141.

It is a junction number, because it is equal to n+sod(n) for n = 141003140073994 and 141003140074012.

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, 3699006101 + ... + 3699044219.

It is an arithmetic number, because the mean of its divisors is an integer number (2510448231375).

Almost surely, 2141003140074040 is an apocalyptic number.

141003140074040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141003140074040 is an abundant number, since it is smaller than the sum of its proper divisors (180334233541960).

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

141003140074040 is a wasteful number, since it uses less digits than its factorization.

141003140074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40609 (or 40605 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 141003140074040 its reverse (40470041300141), we get a palindrome (181473181374181).

The spelling of 141003140074040 in words is "one hundred forty-one trillion, three billion, one hundred forty million, seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 509 776 970 1018 1873 1940 2036 2545 3746 3880 4072 5090 7492 9365 10180 14984 18730 20360 37460 38119 49373 74920 76238 98746 152476 181681 190595 197492 246865 304952 363362 381190 394984 493730 726724 762380 908405 953357 987460 1453448 1524760 1816810 1906714 1974920 3633620 3697543 3813428 4766785 7267240 7395086 7626856 9533570 14790172 18487715 19067140 19402571 29580344 36975430 38134280 38805142 71396887 73950860 77610284 92475629 97012855 142793774 147901720 155220568 184951258 194025710 285587548 356984435 369902516 388051420 462378145 571175096 713968870 739805032 776102840 924756290 1427937740 1849512580 1882049387 2855875480 3699025160 3764098774 6925498039 7528197548 9410246935 13850996078 15056395096 18820493870 27701992156 34627490195 36341015483 37640987740 55403984312 69254980390 72682030966 75281975480 138509960780 145364061932 181705077415 277019921560 290728123864 363410154830 726820309660 1453640619320 3525078501851 7050157003702 14100314007404 17625392509255 28200628014808 35250785018510 70501570037020 141003140074040