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130622257040 = 24511295986753
BaseRepresentation
bin111100110100110110…
…0010111011110010000
3110111011021211011210212
41321221230113132100
54120003244211130
6140001304143252
712302640602552
oct1715154273620
9414137734725
10130622257040
115043a94a050
1221395167b28
13c418a93c72
146471da74d2
1535e77cae95
hex1e69b17790

130622257040 has 160 divisors (see below), whose sum is σ = 348542870400. Its totient is φ = 45083279360.

The previous prime is 130622257021. The next prime is 130622257057. The reversal of 130622257040 is 40752226031.

It is a junction number, because it is equal to n+sod(n) for n = 130622256988 and 130622257006.

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, 1462304 + ... + 1549056.

It is an arithmetic number, because the mean of its divisors is an integer number (2178392940).

Almost surely, 2130622257040 is an apocalyptic number.

130622257040 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 130622257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174271435200).

130622257040 is an abundant number, since it is smaller than the sum of its proper divisors (217920613360).

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

130622257040 is a wasteful number, since it uses less digits than its factorization.

130622257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86865 (or 86859 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 130622257040 in words is "one hundred thirty billion, six hundred twenty-two million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 59 80 88 110 116 118 145 176 220 232 236 290 295 319 440 464 472 580 590 638 649 880 944 1160 1180 1276 1298 1595 1711 2320 2360 2552 2596 3190 3245 3422 4720 5104 5192 6380 6490 6844 8555 10384 12760 12980 13688 17110 18821 25520 25960 27376 34220 37642 51920 68440 75284 86753 94105 136880 150568 173506 188210 301136 347012 376420 433765 694024 752840 867530 954283 1388048 1505680 1735060 1908566 2515837 3470120 3817132 4771415 5031674 5118427 6940240 7634264 9542830 10063348 10236854 12579185 15268528 19085660 20126696 20473708 25158370 25592135 27674207 38171320 40253392 40947416 50316740 51184270 55348414 56302697 76342640 81894832 100633480 102368540 110696828 112605394 138371035 148434383 201266960 204737080 221393656 225210788 276742070 281513485 296868766 409474160 442787312 450421576 553484140 563026970 593737532 742171915 900843152 1106968280 1126053940 1187475064 1484343830 1632778213 2213936560 2252107880 2374950128 2968687660 3265556426 4504215760 5937375320 6531112852 8163891065 11874750640 13062225704 16327782130 26124451408 32655564260 65311128520 130622257040