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4144805146740 = 2235347199078057
BaseRepresentation
bin111100010100001001101…
…000110111000001110100
3112200020110121010022211010
4330110021220313001310
51020402030104143430
612452032554512220
7605311064306436
oct74241150670164
915606417108733
104144805146740
1113588904a5665
1256b35aa35670
13240b1304480b
14104876bca656
1572c38993cb0
hex3c509a37074

4144805146740 has 48 divisors (see below), whose sum is σ = 11638899582912. Its totient is φ = 1102096118016.

The previous prime is 4144805146733. The next prime is 4144805146747. The reversal of 4144805146740 is 476415084414.

It is an interprime number because it is at equal distance from previous prime (4144805146733) and next prime (4144805146747).

It is a self number, because there is not a number n which added to its sum of digits gives 4144805146740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144805146747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99518209 + ... + 99559848.

It is an arithmetic number, because the mean of its divisors is an integer number (242477074644).

Almost surely, 24144805146740 is an apocalyptic number.

It is an amenable number.

4144805146740 is an abundant number, since it is smaller than the sum of its proper divisors (7494094436172).

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

4144805146740 is a wasteful number, since it uses less digits than its factorization.

4144805146740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199078416 (or 199078414 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 4144805146740 in words is "four trillion, one hundred forty-four billion, eight hundred five million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 347 694 1041 1388 1735 2082 3470 4164 5205 6940 10410 20820 199078057 398156114 597234171 796312228 995390285 1194468342 1990780570 2388936684 2986170855 3981561140 5972341710 11944683420 69080085779 138160171558 207240257337 276320343116 345400428895 414480514674 690800857790 828961029348 1036201286685 1381601715580 2072402573370 4144805146740