Search a number
-
+
141003134400400 = 24522293153732157
BaseRepresentation
bin100000000011110111011001…
…101111001111011110010000
3200111020202201212121000002221
4200003313121233033132100
5121440143404401303100
61215515540134350424
741462066055016516
oct4003673157173620
9614222655530087
10141003134400400
1140a23103474598
12139934284bb414
13608a70018a11c
1426b6833b244b6
151147c35ee401a
hex803dd9bcf790

141003134400400 has 60 divisors (see below), whose sum is σ = 338907769204372. Its totient is φ = 56376656248320.

The previous prime is 141003134400383. The next prime is 141003134400419. The reversal of 141003134400400 is 4004431300141.

It can be written as a sum of positive squares in 6 ways, for example, as 40565536715664 + 100437597684736 = 6369108^2 + 10021856^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75948879 + ... + 77783278.

Almost surely, 2141003134400400 is an apocalyptic number.

141003134400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141003134400400 is an abundant number, since it is smaller than the sum of its proper divisors (197904634803972).

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

141003134400400 is a wasteful number, since it uses less digits than its factorization.

141003134400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153734468 (or 153734457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 141003134400400 its reverse (4004431300141), we get a palindrome (145007565700541).

The spelling of 141003134400400 in words is "one hundred forty-one trillion, three billion, one hundred thirty-four million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2293 4586 9172 11465 18344 22930 36688 45860 57325 91720 114650 183440 229300 458600 917200 153732157 307464314 614928628 768660785 1229857256 1537321570 2459714512 3074643140 3843303925 6149286280 7686607850 12298572560 15373215700 30746431400 61492862800 352507836001 705015672002 1410031344004 1762539180005 2820062688008 3525078360010 5640125376016 7050156720020 8812695900025 14100313440040 17625391800050 28200626880080 35250783600100 70501567200200 141003134400400