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1131516632240 = 245194197187181
BaseRepresentation
bin10000011101110011101…
…001011001110010110000
311000011122100011120102022
4100131303221121302300
5122014321224212430
62223451144211012
7144515015452511
oct20356351316260
94004570146368
101131516632240
113a69677052a5
12163366769a68
1382917436ba7
143caa1104a08
151e67780c4e5
hex10773a59cb0

1131516632240 has 160 divisors (see below), whose sum is σ = 2866040936640. Its totient is φ = 414012211200.

The previous prime is 1131516632231. The next prime is 1131516632251. The reversal of 1131516632240 is 422366151311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131516632240.

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, 5951450 + ... + 6138630.

It is an arithmetic number, because the mean of its divisors is an integer number (17912755854).

Almost surely, 21131516632240 is an apocalyptic number.

1131516632240 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 1131516632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433020468320).

1131516632240 is an abundant number, since it is smaller than the sum of its proper divisors (1734524304400).

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

1131516632240 is a wasteful number, since it uses less digits than its factorization.

1131516632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187351 (or 187345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1131516632240 in words is "one trillion, one hundred thirty-one billion, five hundred sixteen million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 97 152 164 190 194 205 304 328 380 388 410 485 656 760 776 779 820 970 1520 1552 1558 1640 1843 1940 3116 3280 3686 3880 3895 3977 6232 7372 7760 7790 7954 9215 12464 14744 15580 15908 18430 19885 29488 31160 31816 36860 39770 62320 63632 73720 75563 79540 147440 151126 159080 187181 302252 318160 374362 377815 604504 748724 755630 935905 1209008 1497448 1511260 1871810 2994896 3022520 3556439 3743620 6045040 7112878 7487240 7674421 14225756 14974480 15348842 17782195 18156557 28451512 30697684 35564390 36313114 38372105 56903024 61395368 71128780 72626228 76744210 90782785 122790736 142257560 145252456 145813999 153488420 181565570 284515120 290504912 291627998 306976840 344974583 363131140 583255996 613953680 689949166 726262280 729069995 744418837 1166511992 1379898332 1452524560 1458139990 1488837674 1724872915 2333023984 2759796664 2916279980 2977675348 3449745830 3722094185 5519593328 5832559960 5955350696 6899491660 7444188370 11665119920 11910701392 13798983320 14143957903 14888376740 27597966640 28287915806 29776753480 56575831612 59553506960 70719789515 113151663224 141439579030 226303326448 282879158060 565758316120 1131516632240