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54354335305144 = 2377331583836491
BaseRepresentation
bin11000101101111010110101…
…10110010000110110111000
321010110020001002020111002011
430112331122312100312320
524111020134314231034
6311334011550415304
714306654046011140
oct1426753266206670
9233406032214064
1054354335305144
11163565a92a0a16
12611a298b01534
13244379031b134
14d5ca9a093920
15643d33578864
hex316f5ad90db8

54354335305144 has 64 divisors (see below), whose sum is σ = 116706293130240. Its totient is φ = 23248211898240.

The previous prime is 54354335305111. The next prime is 54354335305157. The reversal of 54354335305144 is 44150353345345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64560739 + ... + 65397229.

It is an arithmetic number, because the mean of its divisors is an integer number (1823535830160).

Almost surely, 254354335305144 is an apocalyptic number.

It is an amenable number.

54354335305144 is an abundant number, since it is smaller than the sum of its proper divisors (62351957825096).

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

54354335305144 is a wasteful number, since it uses less digits than its factorization.

54354335305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838820 (or 838816 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 49.

The spelling of 54354335305144 in words is "fifty-four trillion, three hundred fifty-four billion, three hundred thirty-five million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 733 1466 1583 2932 3166 5131 5864 6332 10262 11081 12664 20524 22162 41048 44324 88648 836491 1160339 1672982 2320678 3345964 4641356 5855437 6691928 8122373 9282712 11710874 16244746 23421748 32489492 46843496 64978984 613147903 1226295806 1324165253 2452591612 2648330506 4292035321 4905183224 5296661012 8584070642 9269156771 10593322024 17168141284 18538313542 34336282568 37076627084 74153254168 970613130449 1941226260898 3882452521796 6794291913143 7764905043592 13588583826286 27177167652572 54354335305144