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1561144104 = 233413473943
BaseRepresentation
bin101110100001101…
…0010101100101000
311000210120100010000
41131003102230220
511144123102404
6414524423000
753454335352
oct13503225450
94023510100
101561144104
11731252743
123769a7a60
131bb57cc10
1410b49c0d2
15920c6339
hex5d0d2b28

1561144104 has 160 divisors (see below), whose sum is σ = 4810417920. Its totient is φ = 470012544.

The previous prime is 1561144099. The next prime is 1561144127. The reversal of 1561144104 is 4014411651.

1561144104 is a `hidden beast` number, since 1 + 5 + 611 + 4 + 41 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 393957 + ... + 397899.

It is an arithmetic number, because the mean of its divisors is an integer number (30065112).

Almost surely, 21561144104 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 1561144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405208960).

1561144104 is an abundant number, since it is smaller than the sum of its proper divisors (3249273816).

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

1561144104 is a wasteful number, since it uses less digits than its factorization.

1561144104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1561144104 is about 39511.3161511990. The cubic root of 1561144104 is about 1160.0614573067.

Adding to 1561144104 its reverse (4014411651), we get a palindrome (5575555755).

The spelling of 1561144104 in words is "one billion, five hundred sixty-one million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 81 94 104 108 117 141 156 162 188 216 234 282 312 324 351 376 423 468 564 611 648 702 846 936 1053 1128 1222 1269 1404 1692 1833 2106 2444 2538 2808 3384 3666 3807 3943 4212 4888 5076 5499 7332 7614 7886 8424 10152 10998 11829 14664 15228 15772 16497 21996 23658 30456 31544 32994 35487 43992 47316 49491 51259 65988 70974 94632 98982 102518 106461 131976 141948 153777 185321 197964 205036 212922 283896 307554 319383 370642 395928 410072 425844 461331 555963 615108 638766 741284 851688 922662 1111926 1230216 1277532 1383993 1482568 1667889 1845324 2223852 2409173 2555064 2767986 3335778 3690648 4151979 4447704 4818346 5003667 5535972 6671556 7227519 8303958 9636692 10007334 11071944 13343112 14455038 15011001 16607916 19273384 20014668 21682557 28910076 30022002 33215832 40029336 43365114 57820152 60044004 65047671 86730228 120088008 130095342 173460456 195143013 260190684 390286026 520381368 780572052 1561144104