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4132413013240 = 235293376793601
BaseRepresentation
bin111100001000100111000…
…000100111110011111000
3112122001110222010201102201
4330020213000213303320
51020201140212410430
612442223200235544
7604362022023361
oct74104700476370
915561428121381
104132413013240
111353601461316
12568a8090bbb4
1323c8b9894145
1410401d094b68
1572760ab58ca
hex3c227027cf8

4132413013240 has 64 divisors (see below), whose sum is σ = 9332239210560. Its totient is φ = 1646868787200.

The previous prime is 4132413013199. The next prime is 4132413013241. The reversal of 4132413013240 is 423103142314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4132413013199 and 4132413013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132413013241) 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, 44102440 + ... + 44196040.

It is an arithmetic number, because the mean of its divisors is an integer number (145816237665).

Almost surely, 24132413013240 is an apocalyptic number.

4132413013240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132413013240 is an abundant number, since it is smaller than the sum of its proper divisors (5199826197320).

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

4132413013240 is a wasteful number, since it uses less digits than its factorization.

4132413013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97672 (or 97668 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4132413013240 its reverse (423103142314), we get a palindrome (4555516155554).

The spelling of 4132413013240 in words is "four trillion, one hundred thirty-two billion, four hundred thirteen million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 3767 5860 7534 11720 15068 18835 30136 37670 75340 93601 150680 187202 374404 468005 748808 936010 1103731 1872020 2207462 3744040 4414924 5518655 8829848 11037310 22074620 27425093 44149240 54850186 109700372 137125465 219400744 274250930 352594967 548501860 705189934 1097003720 1410379868 1762974835 2820759736 3525949670 7051899340 14103798680 103310325331 206620650662 413241301324 516551626655 826482602648 1033103253310 2066206506620 4132413013240