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2141247376 = 2417233161181
BaseRepresentation
bin111111110100000…
…1101011110010000
312112020010122012101
41333220031132100
513341124404001
6552250210144
7104030205502
oct17750153620
95466118171
102141247376
119a9750934
124b9123954
132818003a8
14164545d72
15c7eb3a01
hex7fa0d790

2141247376 has 160 divisors (see below), whose sum is σ = 4835690496. Its totient is φ = 912384000.

The previous prime is 2141247373. The next prime is 2141247377. The reversal of 2141247376 is 6737421412.

It is not an unprimeable number, because it can be changed into a prime (2141247373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11830006 + ... + 11830186.

Almost surely, 22141247376 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 2141247376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417845248).

2141247376 is an abundant number, since it is smaller than the sum of its proper divisors (2694443120).

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

2141247376 is a wasteful number, since it uses less digits than its factorization.

2141247376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 2141247376 is about 46273.6142526170. The cubic root of 2141247376 is about 1288.9090742820.

Adding to 2141247376 its reverse (6737421412), we get a palindrome (8878668788).

The spelling of 2141247376 in words is "two billion, one hundred forty-one million, two hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 23 31 34 46 61 62 68 92 122 124 136 181 184 244 248 272 362 368 391 488 496 527 713 724 782 976 1037 1054 1403 1426 1448 1564 1891 2074 2108 2806 2852 2896 3077 3128 3782 4148 4163 4216 5611 5612 5704 6154 6256 7564 8296 8326 8432 11041 11222 11224 11408 12121 12308 15128 16592 16652 22082 22444 22448 23851 24242 24616 30256 32147 33304 43493 44164 44888 47702 48484 49232 64294 66608 70771 86986 88328 89776 95387 95404 96968 128588 129053 141542 173972 176656 187697 190774 190808 193936 253943 257176 258106 283084 342271 347944 375394 381548 381616 507886 514352 516212 566168 684542 695888 739381 750788 763096 1015772 1032424 1132336 1369084 1478762 1501576 1526192 2031544 2064848 2193901 2738168 2957524 3003152 4063088 4317031 4387802 5476336 5818607 5915048 7872233 8634062 8775604 11637214 11830096 15744466 17268124 17551208 23274428 31488932 34536248 35102416 46548856 62977864 69072496 93097712 125955728 133827961 267655922 535311844 1070623688 2141247376