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11004254040 = 23351341172049
BaseRepresentation
bin10100011111110011…
…11001011101011000
31001101220110000200110
422033321321131120
5140014042112130
65015535204320
7536460421203
oct121771713530
931356400613
1011004254040
114737683a2a
1221713766a0
131064a86a30
1476569a93a
1544612eab0
hex28fe79758

11004254040 has 128 divisors (see below), whose sum is σ = 36419544000. Its totient is φ = 2642657280.

The previous prime is 11004254039. The next prime is 11004254059. The reversal of 11004254040 is 4045240011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11004253998 and 11004254016.

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, 22065 + ... + 149984.

Almost surely, 211004254040 is an apocalyptic number.

11004254040 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 11004254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209772000).

11004254040 is an abundant number, since it is smaller than the sum of its proper divisors (25415289960).

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

11004254040 is a wasteful number, since it uses less digits than its factorization.

11004254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172117 (or 172113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 11004254040 its reverse (4045240011), we get a palindrome (15049494051).

The spelling of 11004254040 in words is "eleven billion, four million, two hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 21320 31980 63960 172049 344098 516147 688196 860245 1032294 1376392 1720490 2064588 2236637 2580735 3440980 4129176 4473274 5161470 6709911 6881960 7054009 8946548 10322940 11183185 13419822 14108018 17893096 20645880 21162027 22366370 26839644 28216036 33549555 35270045 42324054 44732740 53679288 56432072 67099110 70540090 84648108 89465480 91702117 105810135 134198220 141080180 169296216 183404234 211620270 268396440 275106351 282160360 366808468 423240540 458510585 550212702 733616936 846481080 917021170 1100425404 1375531755 1834042340 2200850808 2751063510 3668084680 5502127020 11004254040