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1114045120144 = 241125310857293
BaseRepresentation
bin10000001101100010010…
…000110111111010010000
310221111112201102210111201
4100031202100313322100
5121223031022321034
62211441341120544
7143326035164455
oct20154220677220
93844481383451
101114045120144
1139a511477700
1215baab559154
1381091854358
143bcc496782c
151dea3a48014
hex10362437e90

1114045120144 has 60 divisors (see below), whose sum is σ = 2417289650748. Its totient is φ = 496829681920.

The previous prime is 1114045120141. The next prime is 1114045120151. The reversal of 1114045120144 is 4410215404111.

It can be written as a sum of positive squares in 2 ways, for example, as 366131487744 + 747913632400 = 605088^2 + 864820^2 .

It is not an unprimeable number, because it can be changed into a prime (1114045120141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5326039 + ... + 5531254.

Almost surely, 21114045120144 is an apocalyptic number.

It is an amenable number.

1114045120144 is an abundant number, since it is smaller than the sum of its proper divisors (1303244530604).

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

1114045120144 is a wasteful number, since it uses less digits than its factorization.

1114045120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857376 (or 10857359 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 1114045120144 in words is "one trillion, one hundred fourteen billion, forty-five million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2332 4664 6413 9328 12826 25652 51304 102608 10857293 21714586 43429172 86858344 119430223 173716688 238860446 477720892 575436529 955441784 1150873058 1313732453 1910883568 2301746116 2627464906 4603492232 5254929812 6329801819 9206984464 10509859624 12659603638 21019719248 25319207276 50638414552 69627820009 101276829104 139255640018 278511280036 557022560072 1114045120144