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3551446744144 = 241323174143233
BaseRepresentation
bin110011101011100010101…
…110001011110001010000
3110120111220102121101011221
4303223202232023301100
5431141330331303034
611315302341014424
7514404106146235
oct63534256136120
913514812541157
103551446744144
11114a184112542
124943643b4414
131c9b91384600
14c3c68a4978c
15625abc46bb4
hex33ae2b8bc50

3551446744144 has 60 divisors (see below), whose sum is σ = 7474452141276. Its totient is φ = 1633958117376.

The previous prime is 3551446744081. The next prime is 3551446744147. The reversal of 3551446744144 is 4414476441553.

3551446744144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 997561488400 + 2553885255744 = 998780^2 + 1598088^2 .

It is a super-2 number, since 2×35514467441442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3551446744091 and 3551446744100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3551446744147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214449 + ... + 2928784.

Almost surely, 23551446744144 is an apocalyptic number.

It is an amenable number.

3551446744144 is an abundant number, since it is smaller than the sum of its proper divisors (3923005397132).

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

3551446744144 is a wasteful number, since it uses less digits than its factorization.

3551446744144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143584 (or 4143565 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 52.

The spelling of 3551446744144 in words is "three trillion, five hundred fifty-one billion, four hundred forty-six million, seven hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 317 338 634 676 1268 1352 2536 2704 4121 5072 8242 16484 32968 53573 65936 107146 214292 428584 857168 4143233 8286466 16572932 33145864 53862029 66291728 107724058 215448116 430896232 700206377 861792464 1313404861 1400412754 2626809722 2800825508 5253619444 5601651016 10507238888 11203302032 17074263193 21014477776 34148526386 68297052772 136594105544 221965421509 273188211088 443930843018 887861686036 1775723372072 3551446744144