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1142735440 = 245711473947
BaseRepresentation
bin100010000011100…
…1100001001010000
32221122020222022211
41010013030021100
54320020013230
6305220441504
740214043130
oct10407141120
92848228284
101142735440
11537054060
1227a849294
13152994622
14abaa4ac0
156a4c842a
hex441cc250

1142735440 has 160 divisors (see below), whose sum is σ = 3383783424. Its totient is φ = 348510720.

The previous prime is 1142735389. The next prime is 1142735467. The reversal of 1142735440 is 445372411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287547 + ... + 291493.

Almost surely, 21142735440 is an apocalyptic number.

1142735440 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 1142735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691891712).

1142735440 is an abundant number, since it is smaller than the sum of its proper divisors (2241047984).

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

1142735440 is a wasteful number, since it uses less digits than its factorization.

1142735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 1142735440 is about 33804.3701316856. The cubic root of 1142735440 is about 1045.4788035020.

The spelling of 1142735440 in words is "one billion, one hundred forty-two million, seven hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 47 55 56 70 77 80 88 94 110 112 140 154 176 188 220 235 280 308 329 376 385 440 470 517 560 616 658 752 770 880 940 1034 1232 1316 1540 1645 1880 2068 2585 2632 3080 3290 3619 3760 3947 4136 5170 5264 6160 6580 7238 7894 8272 10340 13160 14476 15788 18095 19735 20680 26320 27629 28952 31576 36190 39470 41360 43417 55258 57904 63152 72380 78940 86834 110516 138145 144760 157880 173668 185509 217085 221032 276290 289520 303919 315760 347336 371018 434170 442064 552580 607838 694672 742036 868340 927545 1105160 1215676 1298563 1484072 1519595 1736680 1855090 2040599 2210320 2431352 2597126 2968144 3039190 3473360 3710180 4081198 4862704 5194252 6078380 6492815 7420360 8162396 10202995 10388504 12156760 12985630 14284193 14840720 16324792 20405990 20777008 24313520 25971260 28568386 32649584 40811980 51942520 57136772 71420965 81623960 103885040 114273544 142841930 163247920 228547088 285683860 571367720 1142735440