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141631411020 = 223511797269251
BaseRepresentation
bin1000001111100111100…
…0111101001101001100
3111112120112111010221120
42003321320331031030
54310030120123040
6145021540400540
713142521062441
oct2037170751514
9445515433846
10141631411020
115507a26a410
12235480a6150
1310481875068
146bd817b9c8
153a3e0777d0
hex20f9e3d34c

141631411020 has 96 divisors (see below), whose sum is σ = 433164001536. Its totient is φ = 34291680000.

The previous prime is 141631411013. The next prime is 141631411027. The reversal of 141631411020 is 20114136141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141631411013) and next prime (141631411027).

It is not an unprimeable number, because it can be changed into a prime (141631411027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391395 + ... + 660645.

It is an arithmetic number, because the mean of its divisors is an integer number (4512125016).

Almost surely, 2141631411020 is an apocalyptic number.

141631411020 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 141631411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216582000768).

141631411020 is an abundant number, since it is smaller than the sum of its proper divisors (291532590516).

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

141631411020 is a wasteful number, since it uses less digits than its factorization.

141631411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270071 (or 270069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 141631411020 its reverse (20114136141), we get a palindrome (161745547161).

The spelling of 141631411020 in words is "one hundred forty-one billion, six hundred thirty-one million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 797 1594 2391 3188 3985 4782 7970 8767 9564 11955 15940 17534 23910 26301 35068 43835 47820 52602 87670 105204 131505 175340 263010 269251 526020 538502 807753 1077004 1346255 1615506 2692510 2961761 3231012 4038765 5385020 5923522 8077530 8885283 11847044 14808805 16155060 17770566 29617610 35541132 44426415 59235220 88852830 177705660 214593047 429186094 643779141 858372188 1072965235 1287558282 2145930470 2360523517 2575116564 3218895705 4291860940 4721047034 6437791410 7081570551 9442094068 11802617585 12875582820 14163141102 23605235170 28326282204 35407852755 47210470340 70815705510 141631411020