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3040013031040 = 27547310932507
BaseRepresentation
bin101100001111001110111…
…001011001011010000000
3101202121210201211212011201
4230033032321121122000
5344301421313443130
610244321313350544
7432430233260206
oct54171671313200
911677721755151
103040013031040
11a72298115177
12411212268454
131908974c582b
14a71cd0d7076
1554127451bca
hex2c3cee59680

3040013031040 has 128 divisors (see below), whose sum is σ = 7424775187200. Its totient is φ = 1189713358848.

The previous prime is 3040013031001. The next prime is 3040013031047. The reversal of 3040013031040 is 401303100403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3040013030999 and 3040013031017.

It is not an unprimeable number, because it can be changed into a prime (3040013031047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93502467 + ... + 93534973.

It is an arithmetic number, because the mean of its divisors is an integer number (58006056150).

Almost surely, 23040013031040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040013031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712387593600).

3040013031040 is an abundant number, since it is smaller than the sum of its proper divisors (4384762156160).

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

3040013031040 is a wasteful number, since it uses less digits than its factorization.

3040013031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35682 (or 35670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3040013031040 its reverse (401303100403), we get a palindrome (3441316131443).

The spelling of 3040013031040 in words is "three trillion, forty billion, thirteen million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3109 3760 6016 6218 7520 12436 15040 15545 24872 30080 31090 32507 49744 62180 65014 99488 124360 130028 146123 162535 198976 248720 260056 292246 325070 397952 497440 520112 584492 650140 730615 994880 1040224 1168984 1300280 1461230 1527829 1989760 2080448 2337968 2600560 2922460 3055658 4160896 4675936 5201120 5844920 6111316 7639145 9351872 10402240 11689840 12222632 15278290 18703744 20804480 23379680 24445264 30556580 46759360 48890528 61113160 93518720 97781056 101064263 122226320 195562112 202128526 244452640 404257052 488905280 505321315 808514104 977810560 1010642630 1617028208 2021285260 3234056416 4042570520 4750020361 6468112832 8085141040 9500040722 12936225664 16170282080 19000081444 23750101805 32340564160 38000162888 47500203610 64681128320 76000325776 95000407220 152000651552 190000814440 304001303104 380001628880 608002606208 760003257760 1520006515520 3040013031040