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141003211040 = 2554722782601
BaseRepresentation
bin1000001101010001110…
…0100100000100100000
3111110221202102021120122
42003110130210010200
54302233310223130
6144435340055412
713121122342556
oct2032434440440
9443852367518
10141003211040
115488770047a
12233b1834568
13103b16848b3
146b78973bd6
153a03d392e5
hex20d4724120

141003211040 has 96 divisors (see below), whose sum is σ = 341710596864. Its totient is φ = 54957414400.

The previous prime is 141003211021. The next prime is 141003211043. The reversal of 141003211040 is 40112300141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (141003211043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665740 + ... + 1748340.

It is an arithmetic number, because the mean of its divisors is an integer number (3559485384).

Almost surely, 2141003211040 is an apocalyptic number.

141003211040 is a gapful number since it is divisible by the number (10) 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 141003211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170855298432).

141003211040 is an abundant number, since it is smaller than the sum of its proper divisors (200707385824).

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

141003211040 is a wasteful number, since it uses less digits than its factorization.

141003211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82890 (or 82882 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 141003211040 its reverse (40112300141), we get a palindrome (181115511181).

The spelling of 141003211040 in words is "one hundred forty-one billion, three million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 227 235 376 454 470 752 908 940 1135 1504 1816 1880 2270 3632 3760 4540 7264 7520 9080 10669 18160 21338 36320 42676 53345 82601 85352 106690 165202 170704 213380 330404 341408 413005 426760 660808 826010 853520 1321616 1652020 1707040 2643232 3304040 3882247 6608080 7764494 13216160 15528988 18750427 19411235 31057976 37500854 38822470 62115952 75001708 77644940 93752135 124231904 150003416 155289880 187504270 300006832 310579760 375008540 600013664 621159520 750017080 881270069 1500034160 1762540138 3000068320 3525080276 4406350345 7050160552 8812700690 14100321104 17625401380 28200642208 35250802760 70501605520 141003211040