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1101439383552 = 21132591012829
BaseRepresentation
bin10000000001110010111…
…001110011100000000000
310220022000012112000202200
4100001302321303200000
5121021221440233202
62201554432313200
7142401460200024
oct20016271634000
93808005460680
101101439383552
113951328aa182
121595719a2800
137cb33065b11
143b44a70c384
151d9b7024e1c
hex10072e73800

1101439383552 has 144 divisors (see below), whose sum is σ = 3235080303000. Its totient is φ = 360923283456.

The previous prime is 1101439383521. The next prime is 1101439383553. The reversal of 1101439383552 is 2553839341011.

1101439383552 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 4 + 3 + 93 + 8 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1101439383498 and 1101439383507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101439383553) 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, 581074 + ... + 1593902.

Almost surely, 21101439383552 is an apocalyptic number.

1101439383552 is a gapful number since it is divisible by the number (12) 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 1101439383552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617540151500).

1101439383552 is an abundant number, since it is smaller than the sum of its proper divisors (2133640919448).

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

1101439383552 is a wasteful number, since it uses less digits than its factorization.

1101439383552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012916 (or 1012893 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1101439383552 in words is "one trillion, one hundred one billion, four hundred thirty-nine million, three hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2048 2124 2304 2832 3072 3776 4248 4608 5664 6144 7552 8496 9216 11328 15104 16992 18432 22656 30208 33984 45312 60416 67968 90624 120832 135936 181248 271872 362496 543744 1012829 1087488 2025658 3038487 4051316 6076974 8102632 9115461 12153948 16205264 18230922 24307896 32410528 36461844 48615792 59756911 64821056 72923688 97231584 119513822 129642112 145847376 179270733 194463168 239027644 259284224 291694752 358541466 388926336 478055288 518568448 537812199 583389504 717082932 777852672 956110576 1037136896 1075624398 1166779008 1434165864 1555705344 1912221152 2074273792 2151248796 2333558016 2868331728 3111410688 3824442304 4302497592 4667116032 5736663456 6222821376 7648884608 8604995184 9334232064 11473326912 15297769216 17209990368 18668464128 22946653824 30595538432 34419980736 45893307648 61191076864 68839961472 91786615296 122382153728 137679922944 183573230592 275359845888 367146461184 550719691776 1101439383552