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1144121040 = 2432510714851
BaseRepresentation
bin100010000110001…
…1110011011010000
32221201212101000100
41010030132123100
54320343333130
6305310252400
740231603566
oct10414363320
92851771010
101144121040
11537910087
1227b1b7100
1315305b1ca
14abd45a36
156a69dc60
hex4431e6d0

1144121040 has 120 divisors (see below), whose sum is σ = 3878510688. Its totient is φ = 302227200.

The previous prime is 1144121023. The next prime is 1144121071. The reversal of 1144121040 is 401214411.

1144121040 is a `hidden beast` number, since 11 + 441 + 210 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69615 + ... + 84465.

Almost surely, 21144121040 is an apocalyptic number.

1144121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939255344).

1144121040 is an abundant number, since it is smaller than the sum of its proper divisors (2734389648).

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

1144121040 is a wasteful number, since it uses less digits than its factorization.

1144121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14977 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1144121040 is about 33824.8583145591. The cubic root of 1144121040 is about 1045.9011906610.

Adding to 1144121040 its reverse (401214411), we get a palindrome (1545335451).

The spelling of 1144121040 in words is "one billion, one hundred forty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 9630 12840 14851 15408 19260 25680 29702 38520 44553 59404 74255 77040 89106 118808 133659 148510 178212 222765 237616 267318 297020 356424 445530 534636 594040 668295 712848 891060 1069272 1188080 1336590 1589057 1782120 2138544 2673180 3178114 3564240 4767171 5346360 6356228 7945285 9534342 10692720 12712456 14301513 15890570 19068684 23835855 25424912 28603026 31781140 38137368 47671710 57206052 63562280 71507565 76274736 95343420 114412104 127124560 143015130 190686840 228824208 286030260 381373680 572060520 1144121040