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1003054140340 = 2257223201722063
BaseRepresentation
bin11101001100010101010…
…11111000101110110100
310112220001120022211101221
432212022223320232310
5112413223324442330
62044444031200124
7132316421342200
oct16461253705664
93486046284357
101003054140340
11357435a0481a
12142494976044
1373783c57b85
1436795d03b00
151b159951b7a
hexe98aaf8bb4

1003054140340 has 144 divisors (see below), whose sum is σ = 2558237133312. Its totient is φ = 328773924864.

The previous prime is 1003054140331. The next prime is 1003054140349. The reversal of 1003054140340 is 430414503001.

It is an interprime number because it is at equal distance from previous prime (1003054140331) and next prime (1003054140349).

It is a super-2 number, since 2×10030541403402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003054140349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45452149 + ... + 45474211.

It is an arithmetic number, because the mean of its divisors is an integer number (17765535648).

Almost surely, 21003054140340 is an apocalyptic number.

1003054140340 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 1003054140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279118566656).

1003054140340 is an abundant number, since it is smaller than the sum of its proper divisors (1555182992972).

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

1003054140340 is a wasteful number, since it uses less digits than its factorization.

1003054140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24126 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1003054140340 its reverse (430414503001), we get a palindrome (1433468643341).

The spelling of 1003054140340 in words is "one trillion, three billion, fifty-four million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2017 2254 3220 4034 4508 5635 8068 10085 11270 14119 20170 22063 22540 28238 40340 44126 46391 56476 70595 88252 92782 98833 110315 141190 154441 185564 197666 220630 231955 282380 308882 324737 395332 441260 463910 494165 507449 617764 649474 772205 927820 988330 1014898 1081087 1298948 1544410 1623685 1976660 2029796 2162174 2273159 2537245 3088820 3247370 3552143 4324348 4546318 5074490 5405435 6494740 7104286 9092636 10148980 10810870 11365795 14208572 17760715 21621740 22731590 24865001 35521430 44501071 45463180 49730002 71042860 89002142 99460004 124325005 178004284 222505355 248650010 311507497 445010710 497300020 623014994 890021420 1023524633 1246029988 1557537485 2047049266 2180552479 3115074970 4094098532 4361104958 5117623165 6230149940 7164672431 8722209916 10235246330 10902762395 14329344862 20470492660 21805524790 28658689724 35823362155 43611049580 50152707017 71646724310 100305414034 143293448620 200610828068 250763535085 501527070170 1003054140340